(3x-5)(3x+5)+25=0

Solution for (3x-5)(3x+5)+25=0 equation:

Simplifying
(3x + -5)(3x + 5) + 25 = 0

Reorder the terms:
(-5 + 3x)(3x + 5) + 25 = 0

Reorder the terms:
(-5 + 3x)(5 + 3x) + 25 = 0

Multiply (-5 + 3x) * (5 + 3x)
(-5(5 + 3x) + 3x * (5 + 3x)) + 25 = 0
((5 * -5 + 3x * -5) + 3x * (5 + 3x)) + 25 = 0
((-25 + -15x) + 3x * (5 + 3x)) + 25 = 0
(-25 + -15x + (5 * 3x + 3x * 3x)) + 25 = 0
(-25 + -15x + (15x + 9x2)) + 25 = 0

Combine like terms: -15x + 15x = 0
(-25 + 0 + 9x2) + 25 = 0
(-25 + 9x2) + 25 = 0

Reorder the terms:
-25 + 25 + 9x2 = 0

Combine like terms: -25 + 25 = 0
0 + 9x2 = 0
9x2 = 0

Solving
9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}