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Simplifying 10x3 = 90xy6 Solving 10x3 = 90xy6 Solving for variable 'x'. Reorder the terms: -90xy6 + 10x3 = 90xy6 + -90xy6 Combine like terms: 90xy6 + -90xy6 = 0 -90xy6 + 10x3 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-9y6 + x2) = 0 Factor a difference between two squares. 10x((3y3 + x)(-3y3 + x)) = 0 Ignore the factor 10.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 '(3y3 + x)' equal to zero and attempt to solve: Simplifying 3y3 + x = 0 Reorder the terms: x + 3y3 = 0 Solving x + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y3' to each side of the equation. x + 3y3 + -3y3 = 0 + -3y3 Combine like terms: 3y3 + -3y3 = 0 x + 0 = 0 + -3y3 x = 0 + -3y3 Remove the zero: x = -3y3 Simplifying x = -3y3Subproblem 3
Set the factor '(-3y3 + x)' equal to zero and attempt to solve: Simplifying -3y3 + x = 0 Reorder the terms: x + -3y3 = 0 Solving x + -3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y3' to each side of the equation. x + -3y3 + 3y3 = 0 + 3y3 Combine like terms: -3y3 + 3y3 = 0 x + 0 = 0 + 3y3 x = 0 + 3y3 Remove the zero: x = 3y3 Simplifying x = 3y3Solution
x = {0, -3y3, 3y3}
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