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Simplifying x3 + -5x + -36x = 0 Reorder the terms: -5x + -36x + x3 = 0 Combine like terms: -5x + -36x = -41x -41x + x3 = 0 Solving -41x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-41 + x2) = 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 '(-41 + x2)' equal to zero and attempt to solve: Simplifying -41 + x2 = 0 Solving -41 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + x2 = 0 + 41 Combine like terms: -41 + 41 = 0 0 + x2 = 0 + 41 x2 = 0 + 41 Combine like terms: 0 + 41 = 41 x2 = 41 Simplifying x2 = 41 Take the square root of each side: x = {-6.403124237, 6.403124237}Solution
x = {0, -6.403124237, 6.403124237}
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