Solve for y
y=-16
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4^{4}-12\times 4^{2}+y\times 4=0
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
256-12\times 4^{2}+y\times 4=0
Calculate 4 to the power of 4 and get 256.
256-12\times 16+y\times 4=0
Calculate 4 to the power of 2 and get 16.
256-192+y\times 4=0
Multiply 12 and 16 to get 192.
64+y\times 4=0
Subtract 192 from 256 to get 64.
y\times 4=-64
Subtract 64 from both sides. Anything subtracted from zero gives its negation.
y=\frac{-64}{4}
Divide both sides by 4.
y=-16
Divide -64 by 4 to get -16.
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}