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Simplifying 15x2 + -42x + -408 = 0 Reorder the terms: -408 + -42x + 15x2 = 0 Solving -408 + -42x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-136 + -14x + 5x2) = 0 Factor a trinomial. 3((-4 + -1x)(34 + -5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(34 + -5x)' equal to zero and attempt to solve: Simplifying 34 + -5x = 0 Solving 34 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -5x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = 0 + -34 -5x = 0 + -34 Combine like terms: 0 + -34 = -34 -5x = -34 Divide each side by '-5'. x = 6.8 Simplifying x = 6.8Solution
x = {-4, 6.8}
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