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Simplifying (x + 2)(5x + 10) = 0 Reorder the terms: (2 + x)(5x + 10) = 0 Reorder the terms: (2 + x)(10 + 5x) = 0 Multiply (2 + x) * (10 + 5x) (2(10 + 5x) + x(10 + 5x)) = 0 ((10 * 2 + 5x * 2) + x(10 + 5x)) = 0 ((20 + 10x) + x(10 + 5x)) = 0 (20 + 10x + (10 * x + 5x * x)) = 0 (20 + 10x + (10x + 5x2)) = 0 Combine like terms: 10x + 10x = 20x (20 + 20x + 5x2) = 0 Solving 20 + 20x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 4x + x2) = 0 Factor a trinomial. 5((2 + x)(2 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2, -2}
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