Solve for x
x=\frac{5}{12}\approx 0.416666667
Graph
Share
Copied to clipboard
-12x^{2}+24x-8=-12x^{2}+2
Use the distributive property to multiply -4 by 3x^{2}-6x+2.
-12x^{2}+24x-8+12x^{2}=2
Add 12x^{2} to both sides.
24x-8=2
Combine -12x^{2} and 12x^{2} to get 0.
24x=2+8
Add 8 to both sides.
24x=10
Add 2 and 8 to get 10.
x=\frac{10}{24}
Divide both sides by 24.
x=\frac{5}{12}
Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.
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}