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Simplifying (-9x + 6)(x + -5) = 0 Reorder the terms: (6 + -9x)(x + -5) = 0 Reorder the terms: (6 + -9x)(-5 + x) = 0 Multiply (6 + -9x) * (-5 + x) (6(-5 + x) + -9x * (-5 + x)) = 0 ((-5 * 6 + x * 6) + -9x * (-5 + x)) = 0 ((-30 + 6x) + -9x * (-5 + x)) = 0 (-30 + 6x + (-5 * -9x + x * -9x)) = 0 (-30 + 6x + (45x + -9x2)) = 0 Combine like terms: 6x + 45x = 51x (-30 + 51x + -9x2) = 0 Solving -30 + 51x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 17x + -3x2) = 0 Factor a trinomial. 3((-5 + x)(2 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {5, 0.6666666667}
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