Solve 100=quad-1/2(x)(4)^2

$$100 = \quad - \frac { 1 } { 2 } ( x ) ( 4 ) ^ { 2 }$$

Solve for x

$$x = -\frac{25}{2} = -12\frac{1}{2} = -12.5$$

Steps for Solving Linear Equation

Calculate 4 to the power of 2 and get 16.

$$100=-\frac{1}{2}x\times 16$$

Express -\frac{1}{2}\times 16 as a single fraction.

$$100=\frac{-16}{2}x$$

Divide -16 by 2 to get -8.

$$100=-8x$$

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

$$-8x=100$$

Divide both sides by -8.

$$x=\frac{100}{-8}$$

Reduce the fraction \frac{100}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{25}{2}$$