Solve 14=k/2(-2)^2+24(-2)^2

$$14 = \frac { k } { 2 } ( - 2 ) ^ { 2 } + 24 ( - 2 ) ^ { 2 }$$

Solve for k

$$k=-41$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$28=k\left(-2\right)^{2}+48\left(-2\right)^{2}$$

Calculate -2 to the power of 2 and get 4.

$$28=k\times 4+48\left(-2\right)^{2}$$

Calculate -2 to the power of 2 and get 4.

$$28=k\times 4+48\times 4$$

Multiply 48 and 4 to get 192.

$$28=k\times 4+192$$

Swap sides so that all variable terms are on the left hand side.

$$k\times 4+192=28$$

Subtract 192 from both sides.

$$k\times 4=28-192$$

Subtract 192 from 28 to get -164.

$$k\times 4=-164$$

Divide both sides by 4.

$$k=\frac{-164}{4}$$

Divide -164 by 4 to get -41.

$$k=-41$$