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

Solution for (-2x-7)(-2x+7)= 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}