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Simplifying 81x11 = 9x Solving 81x11 = 9x Solving for variable 'x'. Reorder the terms: -9x + 81x11 = 9x + -9x Combine like terms: 9x + -9x = 0 -9x + 81x11 = 0 Factor out the Greatest Common Factor (GCF), '9x'. 9x(-1 + 9x10) = 0 Factor a difference between two squares. 9x((1 + 3x5)(-1 + 3x5)) = 0 Ignore the factor 9.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 + 3x5)' equal to zero and attempt to solve: Simplifying 1 + 3x5 = 0 Solving 1 + 3x5 = 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 + 3x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x5 = 0 + -1 3x5 = 0 + -1 Combine like terms: 0 + -1 = -1 3x5 = -1 Divide each side by '3'. x5 = -0.3333333333 Simplifying x5 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 3x5)' equal to zero and attempt to solve: Simplifying -1 + 3x5 = 0 Solving -1 + 3x5 = 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 + 3x5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x5 = 0 + 1 3x5 = 0 + 1 Combine like terms: 0 + 1 = 1 3x5 = 1 Divide each side by '3'. x5 = 0.3333333333 Simplifying x5 = 0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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