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Simplifying 2x2 + 24x = -40 Reorder the terms: 24x + 2x2 = -40 Solving 24x + 2x2 = -40 Solving for variable 'x'. Reorder the terms: 40 + 24x + 2x2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 24x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 12x + x2) = 0 Factor a trinomial. 2((10 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -2}
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