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Simplifying 14x2 + 14x = 60x + -12 Reorder the terms: 14x + 14x2 = 60x + -12 Reorder the terms: 14x + 14x2 = -12 + 60x Solving 14x + 14x2 = -12 + 60x Solving for variable 'x'. Reorder the terms: 12 + 14x + -60x + 14x2 = -12 + 60x + 12 + -60x Combine like terms: 14x + -60x = -46x 12 + -46x + 14x2 = -12 + 60x + 12 + -60x Reorder the terms: 12 + -46x + 14x2 = -12 + 12 + 60x + -60x Combine like terms: -12 + 12 = 0 12 + -46x + 14x2 = 0 + 60x + -60x 12 + -46x + 14x2 = 60x + -60x Combine like terms: 60x + -60x = 0 12 + -46x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -23x + 7x2) = 0 Factor a trinomial. 2((2 + -7x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 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 = {0.2857142857, 3}
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