(4x-3)(4x+3)=0

Solution for (4x-3)(4x+3)=0 equation:

Simplifying
(4x + -3)(4x + 3) = 0

Reorder the terms:
(-3 + 4x)(4x + 3) = 0

Reorder the terms:
(-3 + 4x)(3 + 4x) = 0

Multiply (-3 + 4x) * (3 + 4x)
(-3(3 + 4x) + 4x * (3 + 4x)) = 0
((3 * -3 + 4x * -3) + 4x * (3 + 4x)) = 0
((-9 + -12x) + 4x * (3 + 4x)) = 0
(-9 + -12x + (3 * 4x + 4x * 4x)) = 0
(-9 + -12x + (12x + 16x2)) = 0

Combine like terms: -12x + 12x = 0
(-9 + 0 + 16x2) = 0
(-9 + 16x2) = 0

Solving
-9 + 16x2 = 0

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 = 0 + 9

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

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

Divide each side by '16'.
x2 = 0.5625

Simplifying
x2 = 0.5625

Take the square root of each side:
x = {-0.75, 0.75}