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Simplifying (5x + -1)(x + -5) = -86x + -175 Reorder the terms: (-1 + 5x)(x + -5) = -86x + -175 Reorder the terms: (-1 + 5x)(-5 + x) = -86x + -175 Multiply (-1 + 5x) * (-5 + x) (-1(-5 + x) + 5x * (-5 + x)) = -86x + -175 ((-5 * -1 + x * -1) + 5x * (-5 + x)) = -86x + -175 ((5 + -1x) + 5x * (-5 + x)) = -86x + -175 (5 + -1x + (-5 * 5x + x * 5x)) = -86x + -175 (5 + -1x + (-25x + 5x2)) = -86x + -175 Combine like terms: -1x + -25x = -26x (5 + -26x + 5x2) = -86x + -175 Reorder the terms: 5 + -26x + 5x2 = -175 + -86x Solving 5 + -26x + 5x2 = -175 + -86x Solving for variable 'x'. Reorder the terms: 5 + 175 + -26x + 86x + 5x2 = -175 + -86x + 175 + 86x Combine like terms: 5 + 175 = 180 180 + -26x + 86x + 5x2 = -175 + -86x + 175 + 86x Combine like terms: -26x + 86x = 60x 180 + 60x + 5x2 = -175 + -86x + 175 + 86x Reorder the terms: 180 + 60x + 5x2 = -175 + 175 + -86x + 86x Combine like terms: -175 + 175 = 0 180 + 60x + 5x2 = 0 + -86x + 86x 180 + 60x + 5x2 = -86x + 86x Combine like terms: -86x + 86x = 0 180 + 60x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(36 + 12x + x2) = 0 Factor a trinomial. 5((6 + x)(6 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-6, -6}
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