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Simplifying 6x + 35 + 9x = 15x(x + 4) + -25 Reorder the terms: 35 + 6x + 9x = 15x(x + 4) + -25 Combine like terms: 6x + 9x = 15x 35 + 15x = 15x(x + 4) + -25 Reorder the terms: 35 + 15x = 15x(4 + x) + -25 35 + 15x = (4 * 15x + x * 15x) + -25 35 + 15x = (60x + 15x2) + -25 Reorder the terms: 35 + 15x = -25 + 60x + 15x2 Solving 35 + 15x = -25 + 60x + 15x2 Solving for variable 'x'. Reorder the terms: 35 + 25 + 15x + -60x + -15x2 = -25 + 60x + 15x2 + 25 + -60x + -15x2 Combine like terms: 35 + 25 = 60 60 + 15x + -60x + -15x2 = -25 + 60x + 15x2 + 25 + -60x + -15x2 Combine like terms: 15x + -60x = -45x 60 + -45x + -15x2 = -25 + 60x + 15x2 + 25 + -60x + -15x2 Reorder the terms: 60 + -45x + -15x2 = -25 + 25 + 60x + -60x + 15x2 + -15x2 Combine like terms: -25 + 25 = 0 60 + -45x + -15x2 = 0 + 60x + -60x + 15x2 + -15x2 60 + -45x + -15x2 = 60x + -60x + 15x2 + -15x2 Combine like terms: 60x + -60x = 0 60 + -45x + -15x2 = 0 + 15x2 + -15x2 60 + -45x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 60 + -45x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(4 + -3x + -1x2) = 0 Factor a trinomial. 15((1 + -1x)(4 + x)) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
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 = -4Solution
x = {1, -4}
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