Solve 1.40=Aleft(1.44-2.29right)^2+1.63

$$1.40 = A { \left(1.44-2.29 \right) }^{ 2 } +1.63$$

Solve for A

$$A=-\frac{92}{289}\approx -0.3183391$$

Steps for Solving Linear Equation

Subtract 2.29 from 1.44 to get -0.85.

$$1.4=A\left(-0.85\right)^{2}+1.63$$

Calculate -0.85 to the power of 2 and get 0.7225.

$$1.4=A\times 0.7225+1.63$$

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

$$A\times 0.7225+1.63=1.4$$

Subtract 1.63 from both sides.

$$A\times 0.7225=1.4-1.63$$

Subtract 1.63 from 1.4 to get -0.23.

$$A\times 0.7225=-0.23$$

Divide both sides by 0.7225.

$$A=\frac{-0.23}{0.7225}$$

Expand \frac{-0.23}{0.7225} by multiplying both numerator and the denominator by 10000.

$$A=\frac{-2300}{7225}$$

Reduce the fraction \frac{-2300}{7225} to lowest terms by extracting and canceling out 25.

$$A=-\frac{92}{289}$$