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Simplifying 15x2 + -54x = 216 Reorder the terms: -54x + 15x2 = 216 Solving -54x + 15x2 = 216 Solving for variable 'x'. Reorder the terms: -216 + -54x + 15x2 = 216 + -216 Combine like terms: 216 + -216 = 0 -216 + -54x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-72 + -18x + 5x2) = 0 Factor a trinomial. 3((-12 + -5x)(6 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-2.4, 6}
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