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Simplifying 14x3 + -16x = 2x2 Reorder the terms: -16x + 14x3 = 2x2 Solving -16x + 14x3 = 2x2 Solving for variable 'x'. Reorder the terms: -16x + -2x2 + 14x3 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -16x + -2x2 + 14x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-8 + -1x + 7x2) = 0 Factor a trinomial. 2x((-1 + -1x)(8 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 3
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {0, -1, 1.142857143}
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