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

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

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

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

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

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

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

Solving
-25 + x2 = 75

Solving for variable 'x'.

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

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

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

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

Simplifying
x2 = 100

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