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Simplifying 108x11 + -75x = 0 Reorder the terms: -75x + 108x11 = 0 Solving -75x + 108x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-25 + 36x10) = 0 Factor a difference between two squares. 3x((5 + 6x5)(-5 + 6x5)) = 0 Ignore the factor 3.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 '(5 + 6x5)' equal to zero and attempt to solve: Simplifying 5 + 6x5 = 0 Solving 5 + 6x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x5 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x5 = 0 + -5 6x5 = 0 + -5 Combine like terms: 0 + -5 = -5 6x5 = -5 Divide each side by '6'. x5 = -0.8333333333 Simplifying x5 = -0.8333333333 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 '(-5 + 6x5)' equal to zero and attempt to solve: Simplifying -5 + 6x5 = 0 Solving -5 + 6x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x5 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x5 = 0 + 5 6x5 = 0 + 5 Combine like terms: 0 + 5 = 5 6x5 = 5 Divide each side by '6'. x5 = 0.8333333333 Simplifying x5 = 0.8333333333 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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