6(2x+10)(2x-10)=0

Solution for 6(2x+10)(2x-10)=0 equation:

Simplifying
6(2x + 10)(2x + -10) = 0

Reorder the terms:
6(10 + 2x)(2x + -10) = 0

Reorder the terms:
6(10 + 2x)(-10 + 2x) = 0

Multiply (10 + 2x) * (-10 + 2x)
6(10(-10 + 2x) + 2x * (-10 + 2x)) = 0
6((-10 * 10 + 2x * 10) + 2x * (-10 + 2x)) = 0
6((-100 + 20x) + 2x * (-10 + 2x)) = 0
6(-100 + 20x + (-10 * 2x + 2x * 2x)) = 0
6(-100 + 20x + (-20x + 4x2)) = 0

Combine like terms: 20x + -20x = 0
6(-100 + 0 + 4x2) = 0
6(-100 + 4x2) = 0
(-100 * 6 + 4x2 * 6) = 0
(-600 + 24x2) = 0

Solving
-600 + 24x2 = 0

Solving for variable 'x'.

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

Add '600' to each side of the equation.
-600 + 600 + 24x2 = 0 + 600

Combine like terms: -600 + 600 = 0
0 + 24x2 = 0 + 600
24x2 = 0 + 600

Combine like terms: 0 + 600 = 600
24x2 = 600

Divide each side by '24'.
x2 = 25

Simplifying
x2 = 25

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