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Simplifying X3 + 40X = 13X2 Reorder the terms: 40X + X3 = 13X2 Solving 40X + X3 = 13X2 Solving for variable 'X'. Reorder the terms: 40X + -13X2 + X3 = 13X2 + -13X2 Combine like terms: 13X2 + -13X2 = 0 40X + -13X2 + X3 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(40 + -13X + X2) = 0 Factor a trinomial. X((5 + -1X)(8 + -1X)) = 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 '(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 = 5Subproblem 3
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 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 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {0, 5, 8}
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