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Simplifying x5 + 14x4 + -15x3 = 17x3 Reorder the terms: -15x3 + 14x4 + x5 = 17x3 Solving -15x3 + 14x4 + x5 = 17x3 Solving for variable 'x'. Reorder the terms: -15x3 + -17x3 + 14x4 + x5 = 17x3 + -17x3 Combine like terms: -15x3 + -17x3 = -32x3 -32x3 + 14x4 + x5 = 17x3 + -17x3 Combine like terms: 17x3 + -17x3 = 0 -32x3 + 14x4 + x5 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(-32 + 14x + x2) = 0 Factor a trinomial. x3((-16 + -1x)(2 + -1x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-16, 2}
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