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Simplifying 0 = 6x2 + -8x + -8 Reorder the terms: 0 = -8 + -8x + 6x2 Solving 0 = -8 + -8x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + 8x + -6x2 = -8 + -8x + 6x2 + 8 + 8x + -6x2 Reorder the terms: 8 + 8x + -6x2 = -8 + 8 + -8x + 8x + 6x2 + -6x2 Combine like terms: -8 + 8 = 0 8 + 8x + -6x2 = 0 + -8x + 8x + 6x2 + -6x2 8 + 8x + -6x2 = -8x + 8x + 6x2 + -6x2 Combine like terms: -8x + 8x = 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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