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Simplifying 14x2 = 18 + -36x Solving 14x2 = 18 + -36x Solving for variable 'x'. Reorder the terms: -18 + 36x + 14x2 = 18 + -36x + -18 + 36x Reorder the terms: -18 + 36x + 14x2 = 18 + -18 + -36x + 36x Combine like terms: 18 + -18 = 0 -18 + 36x + 14x2 = 0 + -36x + 36x -18 + 36x + 14x2 = -36x + 36x Combine like terms: -36x + 36x = 0 -18 + 36x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 18x + 7x2) = 0 Factor a trinomial. 2((-3 + -1x)(3 + -7x)) = 0 Ignore the factor 2.Subproblem 1
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 = -3Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-3, 0.4285714286}
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