4(4x-5)(4x+5)=0

Solution for 4(4x-5)(4x+5)=0 equation:

Simplifying
4(4x + -5)(4x + 5) = 0

Reorder the terms:
4(-5 + 4x)(4x + 5) = 0

Reorder the terms:
4(-5 + 4x)(5 + 4x) = 0

Multiply (-5 + 4x) * (5 + 4x)
4(-5(5 + 4x) + 4x * (5 + 4x)) = 0
4((5 * -5 + 4x * -5) + 4x * (5 + 4x)) = 0
4((-25 + -20x) + 4x * (5 + 4x)) = 0
4(-25 + -20x + (5 * 4x + 4x * 4x)) = 0
4(-25 + -20x + (20x + 16x2)) = 0

Combine like terms: -20x + 20x = 0
4(-25 + 0 + 16x2) = 0
4(-25 + 16x2) = 0
(-25 * 4 + 16x2 * 4) = 0
(-100 + 64x2) = 0

Solving
-100 + 64x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 64x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 64x2 = 0 + 100
64x2 = 0 + 100

Combine like terms: 0 + 100 = 100
64x2 = 100

Divide each side by '64'.
x2 = 1.5625

Simplifying
x2 = 1.5625

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