3((x+7)(x-7))=0

Solution for 3((x+7)(x-7))=0 equation:

Simplifying
3((x + 7)(x + -7)) = 0

Reorder the terms:
3((7 + x)(x + -7)) = 0

Reorder the terms:
3((7 + x)(-7 + x)) = 0

Multiply (7 + x) * (-7 + x)
3((7(-7 + x) + x(-7 + x))) = 0
3(((-7 * 7 + x * 7) + x(-7 + x))) = 0
3(((-49 + 7x) + x(-7 + x))) = 0
3((-49 + 7x + (-7 * x + x * x))) = 0
3((-49 + 7x + (-7x + x2))) = 0

Combine like terms: 7x + -7x = 0
3((-49 + 0 + x2)) = 0
3((-49 + x2)) = 0
(-49 * 3 + x2 * 3) = 0
(-147 + 3x2) = 0

Solving
-147 + 3x2 = 0

Solving for variable 'x'.

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

Add '147' to each side of the equation.
-147 + 147 + 3x2 = 0 + 147

Combine like terms: -147 + 147 = 0
0 + 3x2 = 0 + 147
3x2 = 0 + 147

Combine like terms: 0 + 147 = 147
3x2 = 147

Divide each side by '3'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}