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Simplifying 6x2 = -14x + 40 Reorder the terms: 6x2 = 40 + -14x Solving 6x2 = 40 + -14x Solving for variable 'x'. Reorder the terms: -40 + 14x + 6x2 = 40 + -14x + -40 + 14x Reorder the terms: -40 + 14x + 6x2 = 40 + -40 + -14x + 14x Combine like terms: 40 + -40 = 0 -40 + 14x + 6x2 = 0 + -14x + 14x -40 + 14x + 6x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -40 + 14x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 7x + 3x2) = 0 Factor a trinomial. 2((-4 + -1x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-4, 1.666666667}
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