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Simplifying 6x(2x + -15) = 162 Reorder the terms: 6x(-15 + 2x) = 162 (-15 * 6x + 2x * 6x) = 162 (-90x + 12x2) = 162 Solving -90x + 12x2 = 162 Solving for variable 'x'. Reorder the terms: -162 + -90x + 12x2 = 162 + -162 Combine like terms: 162 + -162 = 0 -162 + -90x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-27 + -15x + 2x2) = 0 Factor a trinomial. 6((-3 + -2x)(9 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-1.5, 9}
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