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Simplifying -6x + -15 = 4x2 + 20x + 25 Reorder the terms: -15 + -6x = 4x2 + 20x + 25 Reorder the terms: -15 + -6x = 25 + 20x + 4x2 Solving -15 + -6x = 25 + 20x + 4x2 Solving for variable 'x'. Reorder the terms: -15 + -25 + -6x + -20x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: -15 + -25 = -40 -40 + -6x + -20x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: -6x + -20x = -26x -40 + -26x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Reorder the terms: -40 + -26x + -4x2 = 25 + -25 + 20x + -20x + 4x2 + -4x2 Combine like terms: 25 + -25 = 0 -40 + -26x + -4x2 = 0 + 20x + -20x + 4x2 + -4x2 -40 + -26x + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -40 + -26x + -4x2 = 0 + 4x2 + -4x2 -40 + -26x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -40 + -26x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(20 + 13x + 2x2) = 0 Factor a trinomial. -2((4 + x)(5 + 2x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-4, -2.5}
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