Solve 0=a(100-50)^2+30

$$0 = a ( 100 - 50 ) ^ { 2 } + 30$$

Solve for a

$$a=-\frac{3}{250}=-0.012$$

Steps for Solving Linear Equation

Subtract 50 from 100 to get 50.

$$0=a\times 50^{2}+30$$

Calculate 50 to the power of 2 and get 2500.

$$0=a\times 2500+30$$

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

$$a\times 2500+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$a\times 2500=-30$$

Divide both sides by 2500.

$$a=\frac{-30}{2500}$$

Reduce the fraction \frac{-30}{2500} to lowest terms by extracting and canceling out 10.

$$a=-\frac{3}{250}$$