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