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Simplifying
(x + 5)(x + -5) = 56
Reorder the terms:
(5 + x)(x + -5) = 56
Reorder the terms:
(5 + x)(-5 + x) = 56
Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) = 56
((-5 * 5 + x * 5) + x(-5 + x)) = 56
((-25 + 5x) + x(-5 + x)) = 56
(-25 + 5x + (-5 * x + x * x)) = 56
(-25 + 5x + (-5x + x2)) = 56
Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) = 56
(-25 + x2) = 56
Solving
-25 + x2 = 56
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 = 56 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 56 + 25
x2 = 56 + 25
Combine like terms: 56 + 25 = 81
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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