Solve 53=a(0-90)^2+73

$$53 = a ( 0 - 90 ) ^ { 2 } + 73$$

Solve for a

$$a=-\frac{1}{405}\approx -0.002469136$$

Steps for Solving Linear Equation

Subtract 90 from 0 to get -90.

$$53=a\left(-90\right)^{2}+73$$

Calculate -90 to the power of 2 and get 8100.

$$53=a\times 8100+73$$

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

$$a\times 8100+73=53$$

Subtract 73 from both sides.

$$a\times 8100=53-73$$

Subtract 73 from 53 to get -20.

$$a\times 8100=-20$$

Divide both sides by 8100.

$$a=\frac{-20}{8100}$$

Reduce the fraction \frac{-20}{8100} to lowest terms by extracting and canceling out 20.

$$a=-\frac{1}{405}$$