Solve for x
x=120
Graph
Share
Copied to clipboard
2500+x^{2}-x^{2}=100+20x
Subtract x^{2} from both sides.
2500=100+20x
Combine x^{2} and -x^{2} to get 0.
100+20x=2500
Swap sides so that all variable terms are on the left hand side.
20x=2500-100
Subtract 100 from both sides.
20x=2400
Subtract 100 from 2500 to get 2400.
x=\frac{2400}{20}
Divide both sides by 20.
x=120
Divide 2400 by 20 to get 120.
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}