Solve for x
x=1
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-216+36\left(x+5\right)+6x-9+3x=0
Calculate 6 to the power of 3 and get 216.
-216+36x+180+6x-9+3x=0
Use the distributive property to multiply 36 by x+5.
-36+36x+6x-9+3x=0
Add -216 and 180 to get -36.
-36+42x-9+3x=0
Combine 36x and 6x to get 42x.
-45+42x+3x=0
Subtract 9 from -36 to get -45.
-45+45x=0
Combine 42x and 3x to get 45x.
45x=45
Add 45 to both sides. Anything plus zero gives itself.
x=\frac{45}{45}
Divide both sides by 45.
x=1
Divide 45 by 45 to get 1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}