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Simplifying 2x2 + -15x + 43 = 5x + -5 Reorder the terms: 43 + -15x + 2x2 = 5x + -5 Reorder the terms: 43 + -15x + 2x2 = -5 + 5x Solving 43 + -15x + 2x2 = -5 + 5x Solving for variable 'x'. Reorder the terms: 43 + 5 + -15x + -5x + 2x2 = -5 + 5x + 5 + -5x Combine like terms: 43 + 5 = 48 48 + -15x + -5x + 2x2 = -5 + 5x + 5 + -5x Combine like terms: -15x + -5x = -20x 48 + -20x + 2x2 = -5 + 5x + 5 + -5x Reorder the terms: 48 + -20x + 2x2 = -5 + 5 + 5x + -5x Combine like terms: -5 + 5 = 0 48 + -20x + 2x2 = 0 + 5x + -5x 48 + -20x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 48 + -20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -10x + x2) = 0 Factor a trinomial. 2((4 + -1x)(6 + -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 '(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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