Solve 174=aleft(618-294right)^2+534

$$174 = a { \left(618-294 \right) }^{ 2 } +534$$

Solve for a

$$a=-\frac{5}{1458}\approx -0.003429355$$

Steps for Solving Linear Equation

Subtract 294 from 618 to get 324.

$$174=a\times 324^{2}+534$$

Calculate 324 to the power of 2 and get 104976.

$$174=a\times 104976+534$$

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

$$a\times 104976+534=174$$

Subtract 534 from both sides.

$$a\times 104976=174-534$$

Subtract 534 from 174 to get -360.

$$a\times 104976=-360$$

Divide both sides by 104976.

$$a=\frac{-360}{104976}$$

Reduce the fraction \frac{-360}{104976} to lowest terms by extracting and canceling out 72.

$$a=-\frac{5}{1458}$$