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Simplifying 6x2 = 14x + 12 Reorder the terms: 6x2 = 12 + 14x Solving 6x2 = 12 + 14x Solving for variable 'x'. Reorder the terms: -12 + -14x + 6x2 = 12 + 14x + -12 + -14x Reorder the terms: -12 + -14x + 6x2 = 12 + -12 + 14x + -14x Combine like terms: 12 + -12 = 0 -12 + -14x + 6x2 = 0 + 14x + -14x -12 + -14x + 6x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -14x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -7x + 3x2) = 0 Factor a trinomial. 2((-2 + -3x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.6666666667, 3}
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