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

Solution for 2(x+7)(x-7)=0 equation:

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

Reorder the terms:
2(7 + x)(x + -7) = 0

Reorder the terms:
2(7 + x)(-7 + x) = 0

Multiply (7 + x) * (-7 + x)
2(7(-7 + x) + x(-7 + x)) = 0
2((-7 * 7 + x * 7) + x(-7 + x)) = 0
2((-49 + 7x) + x(-7 + x)) = 0
2(-49 + 7x + (-7 * x + x * x)) = 0
2(-49 + 7x + (-7x + x2)) = 0

Combine like terms: 7x + -7x = 0
2(-49 + 0 + x2) = 0
2(-49 + x2) = 0
(-49 * 2 + x2 * 2) = 0
(-98 + 2x2) = 0

Solving
-98 + 2x2 = 0

Solving for variable 'x'.

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

Add '98' to each side of the equation.
-98 + 98 + 2x2 = 0 + 98

Combine like terms: -98 + 98 = 0
0 + 2x2 = 0 + 98
2x2 = 0 + 98

Combine like terms: 0 + 98 = 98
2x2 = 98

Divide each side by '2'.
x2 = 49

Simplifying
x2 = 49

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