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Simplifying 36x = 40x2 + -4x3 Solving 36x = 40x2 + -4x3 Solving for variable 'x'. Reorder the terms: 36x + -40x2 + 4x3 = 40x2 + -40x2 + -4x3 + 4x3 Combine like terms: 40x2 + -40x2 = 0 36x + -40x2 + 4x3 = 0 + -4x3 + 4x3 36x + -40x2 + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 36x + -40x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + -10x + x2) = 0 Factor a trinomial. 4x((1 + -1x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 1, 9}
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