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Simplifying x(15x + 42) + -408 = 0 Reorder the terms: x(42 + 15x) + -408 = 0 (42 * x + 15x * x) + -408 = 0 (42x + 15x2) + -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((-34 + -5x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -6.8Subproblem 2
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 = 4Solution
x = {-6.8, 4}
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