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Simplifying (x + -5)(6 + -3x) = 0 Reorder the terms: (-5 + x)(6 + -3x) = 0 Multiply (-5 + x) * (6 + -3x) (-5(6 + -3x) + x(6 + -3x)) = 0 ((6 * -5 + -3x * -5) + x(6 + -3x)) = 0 ((-30 + 15x) + x(6 + -3x)) = 0 (-30 + 15x + (6 * x + -3x * x)) = 0 (-30 + 15x + (6x + -3x2)) = 0 Combine like terms: 15x + 6x = 21x (-30 + 21x + -3x2) = 0 Solving -30 + 21x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 7x + -1x2) = 0 Factor a trinomial. 3((-5 + x)(2 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {5, 2}
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