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Simplifying 3x2 + -4x + -9 = 2x2 + 2x + 63 Reorder the terms: -9 + -4x + 3x2 = 2x2 + 2x + 63 Reorder the terms: -9 + -4x + 3x2 = 63 + 2x + 2x2 Solving -9 + -4x + 3x2 = 63 + 2x + 2x2 Solving for variable 'x'. Reorder the terms: -9 + -63 + -4x + -2x + 3x2 + -2x2 = 63 + 2x + 2x2 + -63 + -2x + -2x2 Combine like terms: -9 + -63 = -72 -72 + -4x + -2x + 3x2 + -2x2 = 63 + 2x + 2x2 + -63 + -2x + -2x2 Combine like terms: -4x + -2x = -6x -72 + -6x + 3x2 + -2x2 = 63 + 2x + 2x2 + -63 + -2x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -72 + -6x + 1x2 = 63 + 2x + 2x2 + -63 + -2x + -2x2 Reorder the terms: -72 + -6x + 1x2 = 63 + -63 + 2x + -2x + 2x2 + -2x2 Combine like terms: 63 + -63 = 0 -72 + -6x + 1x2 = 0 + 2x + -2x + 2x2 + -2x2 -72 + -6x + 1x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 -72 + -6x + 1x2 = 0 + 2x2 + -2x2 -72 + -6x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -72 + -6x + 1x2 = 0 Factor a trinomial. (-6 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-6, 12}
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