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Simplifying 20 = (x + 3)(x + x) Reorder the terms: 20 = (3 + x)(x + x) Combine like terms: x + x = 2x 20 = (3 + x)(2x) Remove parenthesis around (2x) 20 = (3 + x) * 2x Reorder the terms for easier multiplication: 20 = 2x(3 + x) 20 = (3 * 2x + x * 2x) 20 = (6x + 2x2) Solving 20 = 6x + 2x2 Solving for variable 'x'. Reorder the terms: 20 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 20 + -6x + -2x2 = 0 + 2x2 + -2x2 20 + -6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20 + -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -3x + -1x2) = 0 Factor a trinomial. 2((2 + -1x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 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 = {2, -5}
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