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Simplifying (2x + -5)(x + -1) = -15x + -3 Reorder the terms: (-5 + 2x)(x + -1) = -15x + -3 Reorder the terms: (-5 + 2x)(-1 + x) = -15x + -3 Multiply (-5 + 2x) * (-1 + x) (-5(-1 + x) + 2x * (-1 + x)) = -15x + -3 ((-1 * -5 + x * -5) + 2x * (-1 + x)) = -15x + -3 ((5 + -5x) + 2x * (-1 + x)) = -15x + -3 (5 + -5x + (-1 * 2x + x * 2x)) = -15x + -3 (5 + -5x + (-2x + 2x2)) = -15x + -3 Combine like terms: -5x + -2x = -7x (5 + -7x + 2x2) = -15x + -3 Reorder the terms: 5 + -7x + 2x2 = -3 + -15x Solving 5 + -7x + 2x2 = -3 + -15x Solving for variable 'x'. Reorder the terms: 5 + 3 + -7x + 15x + 2x2 = -3 + -15x + 3 + 15x Combine like terms: 5 + 3 = 8 8 + -7x + 15x + 2x2 = -3 + -15x + 3 + 15x Combine like terms: -7x + 15x = 8x 8 + 8x + 2x2 = -3 + -15x + 3 + 15x Reorder the terms: 8 + 8x + 2x2 = -3 + 3 + -15x + 15x Combine like terms: -3 + 3 = 0 8 + 8x + 2x2 = 0 + -15x + 15x 8 + 8x + 2x2 = -15x + 15x Combine like terms: -15x + 15x = 0 8 + 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4x + x2) = 0 Factor a trinomial. 2((2 + x)(2 + x)) = 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 '(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 = -2Solution
x = {-2, -2}
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