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Simplifying 0 = x3 + -13x2 + -14x Reorder the terms: 0 = -14x + -13x2 + x3 Solving 0 = -14x + -13x2 + x3 Solving for variable 'x'. Remove the zero: 14x + 13x2 + -1x3 = -14x + -13x2 + x3 + 14x + 13x2 + -1x3 Reorder the terms: 14x + 13x2 + -1x3 = -14x + 14x + -13x2 + 13x2 + x3 + -1x3 Combine like terms: -14x + 14x = 0 14x + 13x2 + -1x3 = 0 + -13x2 + 13x2 + x3 + -1x3 14x + 13x2 + -1x3 = -13x2 + 13x2 + x3 + -1x3 Combine like terms: -13x2 + 13x2 = 0 14x + 13x2 + -1x3 = 0 + x3 + -1x3 14x + 13x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 14x + 13x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 13x + -1x2) = 0 Factor a trinomial. x((14 + -1x)(1 + x)) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, 14, -1}
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