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Simplifying 3 + 3x(5x + -18) = 108 Reorder the terms: 3 + 3x(-18 + 5x) = 108 3 + (-18 * 3x + 5x * 3x) = 108 3 + (-54x + 15x2) = 108 Solving 3 + -54x + 15x2 = 108 Solving for variable 'x'. Reorder the terms: 3 + -108 + -54x + 15x2 = 108 + -108 Combine like terms: 3 + -108 = -105 -105 + -54x + 15x2 = 108 + -108 Combine like terms: 108 + -108 = 0 -105 + -54x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-35 + -18x + 5x2) = 0 Factor a trinomial. 3((-7 + -5x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1.4, 5}
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