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Simplifying 5x2 + -14x + -50 = 2x2 + -8x + 22 Reorder the terms: -50 + -14x + 5x2 = 2x2 + -8x + 22 Reorder the terms: -50 + -14x + 5x2 = 22 + -8x + 2x2 Solving -50 + -14x + 5x2 = 22 + -8x + 2x2 Solving for variable 'x'. Reorder the terms: -50 + -22 + -14x + 8x + 5x2 + -2x2 = 22 + -8x + 2x2 + -22 + 8x + -2x2 Combine like terms: -50 + -22 = -72 -72 + -14x + 8x + 5x2 + -2x2 = 22 + -8x + 2x2 + -22 + 8x + -2x2 Combine like terms: -14x + 8x = -6x -72 + -6x + 5x2 + -2x2 = 22 + -8x + 2x2 + -22 + 8x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 -72 + -6x + 3x2 = 22 + -8x + 2x2 + -22 + 8x + -2x2 Reorder the terms: -72 + -6x + 3x2 = 22 + -22 + -8x + 8x + 2x2 + -2x2 Combine like terms: 22 + -22 = 0 -72 + -6x + 3x2 = 0 + -8x + 8x + 2x2 + -2x2 -72 + -6x + 3x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 -72 + -6x + 3x2 = 0 + 2x2 + -2x2 -72 + -6x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -72 + -6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -2x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(6 + -1x)) = 0 Ignore the factor 3.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 '(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 = 6Solution
x = {-4, 6}
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