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Simplifying 6x2 + 20x + -14 = 2 Reorder the terms: -14 + 20x + 6x2 = 2 Solving -14 + 20x + 6x2 = 2 Solving for variable 'x'. Reorder the terms: -14 + -2 + 20x + 6x2 = 2 + -2 Combine like terms: -14 + -2 = -16 -16 + 20x + 6x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -16 + 20x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 10x + 3x2) = 0 Factor a trinomial. 2((-4 + -1x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 0.6666666667}
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