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Simplifying 6x2 + -8x + -3 = 5 Reorder the terms: -3 + -8x + 6x2 = 5 Solving -3 + -8x + 6x2 = 5 Solving for variable 'x'. Reorder the terms: -3 + -5 + -8x + 6x2 = 5 + -5 Combine like terms: -3 + -5 = -8 -8 + -8x + 6x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -8 + -8x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -4x + 3x2) = 0 Factor a trinomial. 2((-2 + -3x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.6666666667Subproblem 2
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 = 2Solution
x = {-0.6666666667, 2}
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