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Simplifying 14x3 + -3x2 + -17x = 0 Reorder the terms: -17x + -3x2 + 14x3 = 0 Solving -17x + -3x2 + 14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + -3x + 14x2) = 0 Factor a trinomial. x((-1 + -1x)(17 + -14x)) = 0Subproblem 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 '(17 + -14x)' equal to zero and attempt to solve: Simplifying 17 + -14x = 0 Solving 17 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -14x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -14x = 0 + -17 -14x = 0 + -17 Combine like terms: 0 + -17 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714Solution
x = {0, -1, 1.214285714}
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