Solve for a
a=2
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8=a\left(-3\right)^{2}-10
Subtract 5 from 2 to get -3.
8=a\times 9-10
Calculate -3 to the power of 2 and get 9.
a\times 9-10=8
Swap sides so that all variable terms are on the left hand side.
a\times 9=8+10
Add 10 to both sides.
a\times 9=18
Add 8 and 10 to get 18.
a=\frac{18}{9}
Divide both sides by 9.
a=2
Divide 18 by 9 to get 2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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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}