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

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

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

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

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

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

Combine like terms: -5x + 5x = 0
3(-25 + 0 + x2) = 0
3(-25 + x2) = 0
(-25 * 3 + x2 * 3) = 0
(-75 + 3x2) = 0

Solving
-75 + 3x2 = 0

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + 3x2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 3x2 = 0 + 75
3x2 = 0 + 75

Combine like terms: 0 + 75 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}