Solve 3=a(1-4)^2-3

$$3 = a ( 1 - 4 ) ^ { 2 } - 3$$

Solve for a

$$a=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Subtract 4 from 1 to get -3.

$$3=a\left(-3\right)^{2}-3$$

Calculate -3 to the power of 2 and get 9.

$$3=a\times 9-3$$

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

$$a\times 9-3=3$$

Add 3 to both sides.

$$a\times 9=3+3$$

Add 3 and 3 to get 6.

$$a\times 9=6$$

Divide both sides by 9.

$$a=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$a=\frac{2}{3}$$