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

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

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

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

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

Multiply (7 + 2x) * (-7 + 2x)
(7(-7 + 2x) + 2x * (-7 + 2x)) = 0
((-7 * 7 + 2x * 7) + 2x * (-7 + 2x)) = 0
((-49 + 14x) + 2x * (-7 + 2x)) = 0
(-49 + 14x + (-7 * 2x + 2x * 2x)) = 0
(-49 + 14x + (-14x + 4x2)) = 0

Combine like terms: 14x + -14x = 0
(-49 + 0 + 4x2) = 0
(-49 + 4x2) = 0

Solving
-49 + 4x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 4x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49

Combine like terms: 0 + 49 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}