-4.(2x+9)-(-8x+3)-(x+13)=0
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Ta co´:
-4 ( 2x + 9 ) - ( -8x + 3 ) - ( x + 13 ) = 0
-8x - 36 + 8x -3 - x - 13 = 0
. ( -8x + 8x ) - 36 - 3 - x - 13 = 0
- 36 - 3 - x - 13 = 0
x = 0 + 36 + 3 + 13
x = 52
-4(2x+9)-(-8x+3)-(x+13)=0
-8x-36+8x-3-x-13=0
-x-52=0
-x=52
x=-52
-4.(2x+9)-(-8x+3)-(x+13)=0
=> 2x+9=0 hoặc -8x+3=0 hoặc x+13=0
TH1: 2x+9=0 =>x = -4,5
TH2: -8x+3=0=>x = 0,375
TH3: x+13=0=> x = -13
Vậy x=-4,5 hoặc x = 0,375 hoặc x = -13
a) \(\left(x+6\right)^2-x\left(x+9\right)=0\)
\(\Leftrightarrow\)\(x^2+12x+36-x^2-9x=0\)
\(\Leftrightarrow\)\(3x+36=0\)
\(\Leftrightarrow\)\(x=-12\)
Vậy...
b) \(6x\left(2x+5\right)-\left(3x+4\right)\left(4x-3\right)=9\)
\(\Leftrightarrow\)\(12x^2+30x-12x^2-7x+12=9\)
\(\Leftrightarrow\)\(23x+12=9\)
\(\Leftrightarrow\)\(x=-\frac{3}{23}\)
Vậy
c) \(2x\left(8x+3\right)-\left(4x+1\right)=13\)
\(\Leftrightarrow\)\(16x^2+6x-4x-1=13\)
\(\Leftrightarrow\)\(16x^2+2x-14=0\)
\(\Leftrightarrow\)\(8x^2+x-7=0\)
\(\Leftrightarrow\)\(\left(x+1\right)\left(8x-7\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=-1\\x=\frac{7}{8}\end{cases}}\)
Vậy
d) \(\left(x-4\right)^2-x\left(x+4\right)=0\)
\(\Leftrightarrow\)\(x^2-8x+16-x^2-4x=0\)
\(\Leftrightarrow\)\(-12x+16=0\)
\(\Leftrightarrow\)\(x=\frac{4}{3}\)
Vậy
e) \(\left(x-2\right)^2-\left(2x+3\right)\left(x-2\right)=0\)
\(\Leftrightarrow\)\(x^2-4x+4-2x^2+x+6=0\)
\(\Leftrightarrow\)\(-x^2-3x+10=0\)
\(\Leftrightarrow\)\(\left(2-x\right)\left(x+5\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=2\\x=-5\end{cases}}\)
Vậy
\(a.\)
\(-18-x=-8+\left(13\right)\)
\(\Rightarrow-18-x=5\)
\(\Rightarrow x=-18-5=-23\)
\(b.\)
\(x-43=\left(57-x\right)-50\)
\(\Rightarrow x-43=57-x-50\)
\(\Rightarrow x+x=43+57-50\)
\(\Rightarrow2x=50\)
\(\Rightarrow x=25\)
\(c.\)
\(-4\left(2x+9\right)-\left(-8x+3\right)-\left(x+13\right)=0\)
\(\Rightarrow-8x-36+8x-3-x-13=0\)
\(\Rightarrow-x-52=0\)
\(\Rightarrow-x=52\)
\(\Rightarrow x=-52\)
-4.(2x+9)-(-8x+3)-(x+13)=0
(-4.2x+-4.9)+8.x-3-x+13=0
-8x+-36+8x-3-x+13=0
(8x-8x)-x=0+36+3-13
0-x=26
=>x thuộc rỗng
-2.(x+6)+6.(x-10)=8
(-2.x+2.6)+(6.x-6.10)=8
(-2+6).x+12-60=8
4.x=8+60-12
4.x=56
x=56:4
x=14
\(-4\left(2x+9\right)-\left(-8x+3\right)-\left(x+13\right)=0\)
\(-8x-36+8x-3-x-13=0\)
\(-x-52=0\)
\(x=-52\)
+ -2X-12+6X-60=8
<=>4X=80]
<=> X = 20
V.....
+ -8X-36 +8X -3 - X - 13 =0
<=> -X = 52
<=> X = -52
V.....
+ 14X +7\(X^2\)-7\(X^2\)-21X=14
<=> -7X =14
<=> X= -2
V .......
\(\Leftrightarrow-8x-36+8x-3-x-13=0\)
\(\Leftrightarrow-8x+8x-x=0+13+36+3\)
\(\Leftrightarrow-x=52\)
\(\Rightarrow x=-52\)
Vậy \(x=-52\)
-4. (2x + 9) - (-8x + 3) - (x + 13) = 0
-8x + (-36) - (-8x) - 3 - x - 13 = 0
-8x + (-36) + 8x + (-3) + (-x) + (-13) = 0
(-8x) + 8x + (-36) + (-3) + (-13) + (-x) = 0
(-52) + (-x) = 0
-x = 0 + 52
-x = 52
x = -52