(7-2x)(-7-2x)=15

Solution for (7-2x)(-7-2x)=15 equation:

Simplifying
(7 + -2x)(-7 + -2x) = 15

Multiply (7 + -2x) * (-7 + -2x)
(7(-7 + -2x) + -2x * (-7 + -2x)) = 15
((-7 * 7 + -2x * 7) + -2x * (-7 + -2x)) = 15
((-49 + -14x) + -2x * (-7 + -2x)) = 15
(-49 + -14x + (-7 * -2x + -2x * -2x)) = 15
(-49 + -14x + (14x + 4x2)) = 15

Combine like terms: -14x + 14x = 0
(-49 + 0 + 4x2) = 15
(-49 + 4x2) = 15

Solving
-49 + 4x2 = 15

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 = 15 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 15 + 49
4x2 = 15 + 49

Combine like terms: 15 + 49 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}