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Simplifying 6x2 + 4x + -416 = 0 Reorder the terms: -416 + 4x + 6x2 = 0 Solving -416 + 4x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-208 + 2x + 3x2) = 0 Factor a trinomial. 2((-26 + -3x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + -3x)' equal to zero and attempt to solve: Simplifying -26 + -3x = 0 Solving -26 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -3x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -3x = 0 + 26 -3x = 0 + 26 Combine like terms: 0 + 26 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-8.666666667, 8}
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