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Simplifying 0 = 6x2 + 2x + -8 Reorder the terms: 0 = -8 + 2x + 6x2 Solving 0 = -8 + 2x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -2x + -6x2 = -8 + 2x + 6x2 + 8 + -2x + -6x2 Reorder the terms: 8 + -2x + -6x2 = -8 + 8 + 2x + -2x + 6x2 + -6x2 Combine like terms: -8 + 8 = 0 8 + -2x + -6x2 = 0 + 2x + -2x + 6x2 + -6x2 8 + -2x + -6x2 = 2x + -2x + 6x2 + -6x2 Combine like terms: 2x + -2x = 0 8 + -2x + -6x2 = 0 + 6x2 + -6x2 8 + -2x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 8 + -2x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1x + -3x2) = 0 Factor a trinomial. 2((1 + -1x)(4 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {1, -1.333333333}
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