Solve for x
x=-4
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x\left(5x+7\right)=5x^{2}+8x+4
Cancel out 4 on both sides.
5x^{2}+7x=5x^{2}+8x+4
Use the distributive property to multiply x by 5x+7.
5x^{2}+7x-5x^{2}=8x+4
Subtract 5x^{2} from both sides.
7x=8x+4
Combine 5x^{2} and -5x^{2} to get 0.
7x-8x=4
Subtract 8x from both sides.
-x=4
Combine 7x and -8x to get -x.
x=-4
Multiply both sides by -1.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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