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Simplifying
(2x + 4)(5x + -10) = 0
Reorder the terms:
(4 + 2x)(5x + -10) = 0
Reorder the terms:
(4 + 2x)(-10 + 5x) = 0
Multiply (4 + 2x) * (-10 + 5x)
(4(-10 + 5x) + 2x * (-10 + 5x)) = 0
((-10 * 4 + 5x * 4) + 2x * (-10 + 5x)) = 0
((-40 + 20x) + 2x * (-10 + 5x)) = 0
(-40 + 20x + (-10 * 2x + 5x * 2x)) = 0
(-40 + 20x + (-20x + 10x2)) = 0
Combine like terms: 20x + -20x = 0
(-40 + 0 + 10x2) = 0
(-40 + 10x2) = 0
Solving
-40 + 10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '40' to each side of the equation.
-40 + 40 + 10x2 = 0 + 40
Combine like terms: -40 + 40 = 0
0 + 10x2 = 0 + 40
10x2 = 0 + 40
Combine like terms: 0 + 40 = 40
10x2 = 40
Divide each side by '10'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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