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Simplifying 36x = x(r * r) Multiply r * r 36x = x(r2) Multiply x * r2 36x = r2x Solving 36x = r2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1r2x' to each side of the equation. -1r2x + 36x = r2x + -1r2x Combine like terms: r2x + -1r2x = 0 -1r2x + 36x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1r2 + 36) = 0 Factor a difference between two squares. x((r + 6)(-1r + 6)) = 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 '(r + 6)' equal to zero and attempt to solve: Simplifying r + 6 = 0 Reorder the terms: 6 + r = 0 Solving 6 + r = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r = 0 + -6 r = 0 + -6 Combine like terms: 0 + -6 = -6 r = -6 Add '-1r' to each side of the equation. r + -1r = -6 + -1r Combine like terms: r + -1r = 0 0 = -6 + -1r Simplifying 0 = -6 + -1r 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 '(-1r + 6)' equal to zero and attempt to solve: Simplifying -1r + 6 = 0 Reorder the terms: 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Add 'r' to each side of the equation. -1r + r = -6 + r Combine like terms: -1r + r = 0 0 = -6 + r Simplifying 0 = -6 + r 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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