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Simplifying (4x + -5)(x + -2) = -37x + -26 Reorder the terms: (-5 + 4x)(x + -2) = -37x + -26 Reorder the terms: (-5 + 4x)(-2 + x) = -37x + -26 Multiply (-5 + 4x) * (-2 + x) (-5(-2 + x) + 4x * (-2 + x)) = -37x + -26 ((-2 * -5 + x * -5) + 4x * (-2 + x)) = -37x + -26 ((10 + -5x) + 4x * (-2 + x)) = -37x + -26 (10 + -5x + (-2 * 4x + x * 4x)) = -37x + -26 (10 + -5x + (-8x + 4x2)) = -37x + -26 Combine like terms: -5x + -8x = -13x (10 + -13x + 4x2) = -37x + -26 Reorder the terms: 10 + -13x + 4x2 = -26 + -37x Solving 10 + -13x + 4x2 = -26 + -37x Solving for variable 'x'. Reorder the terms: 10 + 26 + -13x + 37x + 4x2 = -26 + -37x + 26 + 37x Combine like terms: 10 + 26 = 36 36 + -13x + 37x + 4x2 = -26 + -37x + 26 + 37x Combine like terms: -13x + 37x = 24x 36 + 24x + 4x2 = -26 + -37x + 26 + 37x Reorder the terms: 36 + 24x + 4x2 = -26 + 26 + -37x + 37x Combine like terms: -26 + 26 = 0 36 + 24x + 4x2 = 0 + -37x + 37x 36 + 24x + 4x2 = -37x + 37x Combine like terms: -37x + 37x = 0 36 + 24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 6x + x2) = 0 Factor a trinomial. 4((3 + x)(3 + x)) = 0 Ignore the factor 4.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 '(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 = -3Solution
x = {-3, -3}
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