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Simplifying -6x2 + -40 = 18x + -100 Reorder the terms: -40 + -6x2 = 18x + -100 Reorder the terms: -40 + -6x2 = -100 + 18x Solving -40 + -6x2 = -100 + 18x Solving for variable 'x'. Reorder the terms: -40 + 100 + -18x + -6x2 = -100 + 18x + 100 + -18x Combine like terms: -40 + 100 = 60 60 + -18x + -6x2 = -100 + 18x + 100 + -18x Reorder the terms: 60 + -18x + -6x2 = -100 + 100 + 18x + -18x Combine like terms: -100 + 100 = 0 60 + -18x + -6x2 = 0 + 18x + -18x 60 + -18x + -6x2 = 18x + -18x Combine like terms: 18x + -18x = 0 60 + -18x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(10 + -3x + -1x2) = 0 Factor a trinomial. 6((2 + -1x)(5 + x)) = 0 Ignore the factor 6.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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