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Simplifying
(x + 5)(2x + -10) = 0
Reorder the terms:
(5 + x)(2x + -10) = 0
Reorder the terms:
(5 + x)(-10 + 2x) = 0
Multiply (5 + x) * (-10 + 2x)
(5(-10 + 2x) + x(-10 + 2x)) = 0
((-10 * 5 + 2x * 5) + x(-10 + 2x)) = 0
((-50 + 10x) + x(-10 + 2x)) = 0
(-50 + 10x + (-10 * x + 2x * x)) = 0
(-50 + 10x + (-10x + 2x2)) = 0
Combine like terms: 10x + -10x = 0
(-50 + 0 + 2x2) = 0
(-50 + 2x2) = 0
Solving
-50 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 2x2 = 0 + 50
Combine like terms: -50 + 50 = 0
0 + 2x2 = 0 + 50
2x2 = 0 + 50
Combine like terms: 0 + 50 = 50
2x2 = 50
Divide each side by '2'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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