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Simplifying (5x + -6)(5x + -6) + -81 = 0 Reorder the terms: (-6 + 5x)(5x + -6) + -81 = 0 Reorder the terms: (-6 + 5x)(-6 + 5x) + -81 = 0 Multiply (-6 + 5x) * (-6 + 5x) (-6(-6 + 5x) + 5x * (-6 + 5x)) + -81 = 0 ((-6 * -6 + 5x * -6) + 5x * (-6 + 5x)) + -81 = 0 ((36 + -30x) + 5x * (-6 + 5x)) + -81 = 0 (36 + -30x + (-6 * 5x + 5x * 5x)) + -81 = 0 (36 + -30x + (-30x + 25x2)) + -81 = 0 Combine like terms: -30x + -30x = -60x (36 + -60x + 25x2) + -81 = 0 Reorder the terms: 36 + -81 + -60x + 25x2 = 0 Combine like terms: 36 + -81 = -45 -45 + -60x + 25x2 = 0 Solving -45 + -60x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-9 + -12x + 5x2) = 0 Factor a trinomial. 5((-3 + -5x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.6, 3}
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