75=(x-5)(x+5)

Solution for 75=(x-5)(x+5) equation:

Simplifying
75 = (x + -5)(x + 5)

Reorder the terms:
75 = (-5 + x)(x + 5)

Reorder the terms:
75 = (-5 + x)(5 + x)

Multiply (-5 + x) * (5 + x)
75 = (-5(5 + x) + x(5 + x))
75 = ((5 * -5 + x * -5) + x(5 + x))
75 = ((-25 + -5x) + x(5 + x))
75 = (-25 + -5x + (5 * x + x * x))
75 = (-25 + -5x + (5x + x2))

Combine like terms: -5x + 5x = 0
75 = (-25 + 0 + x2)
75 = (-25 + x2)

Solving
75 = -25 + 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.
75 + -1x2 = -25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
75 + -1x2 = -25 + 0
75 + -1x2 = -25

Add '-75' to each side of the equation.
75 + -75 + -1x2 = -25 + -75

Combine like terms: 75 + -75 = 0
0 + -1x2 = -25 + -75
-1x2 = -25 + -75

Combine like terms: -25 + -75 = -100
-1x2 = -100

Divide each side by '-1'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}