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Simplifying 2x2 = -30x + -100 Reorder the terms: 2x2 = -100 + -30x Solving 2x2 = -100 + -30x Solving for variable 'x'. Reorder the terms: 100 + 30x + 2x2 = -100 + -30x + 100 + 30x Reorder the terms: 100 + 30x + 2x2 = -100 + 100 + -30x + 30x Combine like terms: -100 + 100 = 0 100 + 30x + 2x2 = 0 + -30x + 30x 100 + 30x + 2x2 = -30x + 30x Combine like terms: -30x + 30x = 0 100 + 30x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 15x + x2) = 0 Factor a trinomial. 2((10 + x)(5 + 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 '(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 = {-10, -5}
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