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Simplifying 3x2 + -6x + -10 = x2 + 12x + -50 Reorder the terms: -10 + -6x + 3x2 = x2 + 12x + -50 Reorder the terms: -10 + -6x + 3x2 = -50 + 12x + x2 Solving -10 + -6x + 3x2 = -50 + 12x + x2 Solving for variable 'x'. Reorder the terms: -10 + 50 + -6x + -12x + 3x2 + -1x2 = -50 + 12x + x2 + 50 + -12x + -1x2 Combine like terms: -10 + 50 = 40 40 + -6x + -12x + 3x2 + -1x2 = -50 + 12x + x2 + 50 + -12x + -1x2 Combine like terms: -6x + -12x = -18x 40 + -18x + 3x2 + -1x2 = -50 + 12x + x2 + 50 + -12x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 40 + -18x + 2x2 = -50 + 12x + x2 + 50 + -12x + -1x2 Reorder the terms: 40 + -18x + 2x2 = -50 + 50 + 12x + -12x + x2 + -1x2 Combine like terms: -50 + 50 = 0 40 + -18x + 2x2 = 0 + 12x + -12x + x2 + -1x2 40 + -18x + 2x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 40 + -18x + 2x2 = 0 + x2 + -1x2 40 + -18x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + -18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -9x + x2) = 0 Factor a trinomial. 2((4 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {4, 5}
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