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Simplifying -4x2 = 17x + 15 Reorder the terms: -4x2 = 15 + 17x Solving -4x2 = 15 + 17x Solving for variable 'x'. Reorder the terms: -15 + -17x + -4x2 = 15 + 17x + -15 + -17x Reorder the terms: -15 + -17x + -4x2 = 15 + -15 + 17x + -17x Combine like terms: 15 + -15 = 0 -15 + -17x + -4x2 = 0 + 17x + -17x -15 + -17x + -4x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -15 + -17x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 17x + 4x2) = 0 Factor a trinomial. -1((3 + x)(5 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-3, -1.25}
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