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Simplifying 121x3 = 9x Solving 121x3 = 9x Solving for variable 'x'. Reorder the terms: -9x + 121x3 = 9x + -9x Combine like terms: 9x + -9x = 0 -9x + 121x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 121x2) = 0 Factor a difference between two squares. x((3 + 11x)(-3 + 11x)) = 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 '(3 + 11x)' equal to zero and attempt to solve: Simplifying 3 + 11x = 0 Solving 3 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 0 + -3 11x = 0 + -3 Combine like terms: 0 + -3 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727Subproblem 3
Set the factor '(-3 + 11x)' equal to zero and attempt to solve: Simplifying -3 + 11x = 0 Solving -3 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 0 + 3 11x = 0 + 3 Combine like terms: 0 + 3 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727Solution
x = {0, -0.2727272727, 0.2727272727}
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