77=(x-2)(x+2)

Solution for 77=(x-2)(x+2) equation:

Simplifying
77 = (x + -2)(x + 2)

Reorder the terms:
77 = (-2 + x)(x + 2)

Reorder the terms:
77 = (-2 + x)(2 + x)

Multiply (-2 + x) * (2 + x)
77 = (-2(2 + x) + x(2 + x))
77 = ((2 * -2 + x * -2) + x(2 + x))
77 = ((-4 + -2x) + x(2 + x))
77 = (-4 + -2x + (2 * x + x * x))
77 = (-4 + -2x + (2x + x2))

Combine like terms: -2x + 2x = 0
77 = (-4 + 0 + x2)
77 = (-4 + x2)

Solving
77 = -4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
77 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
77 + -1x2 = -4 + 0
77 + -1x2 = -4

Add '-77' to each side of the equation.
77 + -77 + -1x2 = -4 + -77

Combine like terms: 77 + -77 = 0
0 + -1x2 = -4 + -77
-1x2 = -4 + -77

Combine like terms: -4 + -77 = -81
-1x2 = -81

Divide each side by '-1'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}