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Simplifying 3x2 + 18x + -2x + -12 = 2x2 + x + 16x + 8 Reorder the terms: -12 + 18x + -2x + 3x2 = 2x2 + x + 16x + 8 Combine like terms: 18x + -2x = 16x -12 + 16x + 3x2 = 2x2 + x + 16x + 8 Reorder the terms: -12 + 16x + 3x2 = 8 + x + 16x + 2x2 Combine like terms: x + 16x = 17x -12 + 16x + 3x2 = 8 + 17x + 2x2 Solving -12 + 16x + 3x2 = 8 + 17x + 2x2 Solving for variable 'x'. Reorder the terms: -12 + -8 + 16x + -17x + 3x2 + -2x2 = 8 + 17x + 2x2 + -8 + -17x + -2x2 Combine like terms: -12 + -8 = -20 -20 + 16x + -17x + 3x2 + -2x2 = 8 + 17x + 2x2 + -8 + -17x + -2x2 Combine like terms: 16x + -17x = -1x -20 + -1x + 3x2 + -2x2 = 8 + 17x + 2x2 + -8 + -17x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -20 + -1x + 1x2 = 8 + 17x + 2x2 + -8 + -17x + -2x2 Reorder the terms: -20 + -1x + 1x2 = 8 + -8 + 17x + -17x + 2x2 + -2x2 Combine like terms: 8 + -8 = 0 -20 + -1x + 1x2 = 0 + 17x + -17x + 2x2 + -2x2 -20 + -1x + 1x2 = 17x + -17x + 2x2 + -2x2 Combine like terms: 17x + -17x = 0 -20 + -1x + 1x2 = 0 + 2x2 + -2x2 -20 + -1x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -20 + -1x + 1x2 = 0 Factor a trinomial. (-4 + -1x)(5 + -1x) = 0Subproblem 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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