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Simplifying x3 = 10000000000x Solving x3 = 10000000000x Solving for variable 'x'. Reorder the terms: -10000000000x + x3 = 10000000000x + -10000000000x Combine like terms: 10000000000x + -10000000000x = 0 -10000000000x + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10000000000 + x2) = 0 Factor a difference between two squares. x((100000 + x)(-100000 + x)) = 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 '(100000 + x)' equal to zero and attempt to solve: Simplifying 100000 + x = 0 Solving 100000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100000' to each side of the equation. 100000 + -100000 + x = 0 + -100000 Combine like terms: 100000 + -100000 = 0 0 + x = 0 + -100000 x = 0 + -100000 Combine like terms: 0 + -100000 = -100000 x = -100000 Simplifying x = -100000Subproblem 3
Set the factor '(-100000 + x)' equal to zero and attempt to solve: Simplifying -100000 + x = 0 Solving -100000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '100000' to each side of the equation. -100000 + 100000 + x = 0 + 100000 Combine like terms: -100000 + 100000 = 0 0 + x = 0 + 100000 x = 0 + 100000 Combine like terms: 0 + 100000 = 100000 x = 100000 Simplifying x = 100000Solution
x = {0, -100000, 100000}
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