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Simplifying 8x = 8 + -6x2 Solving 8x = 8 + -6x2 Solving for variable 'x'. Reorder the terms: -8 + 8x + 6x2 = 8 + -6x2 + -8 + 6x2 Reorder the terms: -8 + 8x + 6x2 = 8 + -8 + -6x2 + 6x2 Combine like terms: 8 + -8 = 0 -8 + 8x + 6x2 = 0 + -6x2 + 6x2 -8 + 8x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -8 + 8x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 4x + 3x2) = 0 Factor a trinomial. 2((-2 + -1x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-2, 0.6666666667}
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