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Simplifying X5 + -8X4 + 15X3 = 0 Reorder the terms: 15X3 + -8X4 + X5 = 0 Solving 15X3 + -8X4 + X5 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X3'. X3(15 + -8X + X2) = 0 Factor a trinomial. X3((3 + -1X)(5 + -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 '(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 3
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {3, 5}
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