(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}