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Simplifying 2x(x + 5) + 10x + 50 = 0 Reorder the terms: 2x(5 + x) + 10x + 50 = 0 (5 * 2x + x * 2x) + 10x + 50 = 0 (10x + 2x2) + 10x + 50 = 0 Reorder the terms: 50 + 10x + 10x + 2x2 = 0 Combine like terms: 10x + 10x = 20x 50 + 20x + 2x2 = 0 Solving 50 + 20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 10x + x2) = 0 Factor a trinomial. 2((5 + x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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