(4x)(4x)-9=16

Solution for (4x)(4x)-9=16 equation:

Simplifying
(4x)(4x) + -9 = 16

Remove parenthesis around (4x)
4x(4x) + -9 = 16

Remove parenthesis around (4x)
4x * 4x + -9 = 16

Reorder the terms for easier multiplication:
4 * 4x * x + -9 = 16

Multiply 4 * 4
16x * x + -9 = 16

Multiply x * x
16x2 + -9 = 16

Reorder the terms:
-9 + 16x2 = 16

Solving
-9 + 16x2 = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 16x2 = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 16x2 = 16 + 9
16x2 = 16 + 9

Combine like terms: 16 + 9 = 25
16x2 = 25

Divide each side by '16'.
x2 = 1.5625

Simplifying
x2 = 1.5625

Take the square root of each side:
x = {-1.25, 1.25}