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Simplifying (6x + -1)(x + 5) = 15x + -9 Reorder the terms: (-1 + 6x)(x + 5) = 15x + -9 Reorder the terms: (-1 + 6x)(5 + x) = 15x + -9 Multiply (-1 + 6x) * (5 + x) (-1(5 + x) + 6x * (5 + x)) = 15x + -9 ((5 * -1 + x * -1) + 6x * (5 + x)) = 15x + -9 ((-5 + -1x) + 6x * (5 + x)) = 15x + -9 (-5 + -1x + (5 * 6x + x * 6x)) = 15x + -9 (-5 + -1x + (30x + 6x2)) = 15x + -9 Combine like terms: -1x + 30x = 29x (-5 + 29x + 6x2) = 15x + -9 Reorder the terms: -5 + 29x + 6x2 = -9 + 15x Solving -5 + 29x + 6x2 = -9 + 15x Solving for variable 'x'. Reorder the terms: -5 + 9 + 29x + -15x + 6x2 = -9 + 15x + 9 + -15x Combine like terms: -5 + 9 = 4 4 + 29x + -15x + 6x2 = -9 + 15x + 9 + -15x Combine like terms: 29x + -15x = 14x 4 + 14x + 6x2 = -9 + 15x + 9 + -15x Reorder the terms: 4 + 14x + 6x2 = -9 + 9 + 15x + -15x Combine like terms: -9 + 9 = 0 4 + 14x + 6x2 = 0 + 15x + -15x 4 + 14x + 6x2 = 15x + -15x Combine like terms: 15x + -15x = 0 4 + 14x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 7x + 3x2) = 0 Factor a trinomial. 2((2 + x)(1 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-2, -0.3333333333}
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