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Simplifying 5x = 10cx Solving 5x = 10cx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10cx' to each side of the equation. -10cx + 5x = 10cx + -10cx Combine like terms: 10cx + -10cx = 0 -10cx + 5x = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-2c + 1) = 0 Ignore the factor 5.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 '(-2c + 1)' equal to zero and attempt to solve: Simplifying -2c + 1 = 0 Reorder the terms: 1 + -2c = 0 Solving 1 + -2c = 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 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Add '2c' to each side of the equation. -2c + 2c = -1 + 2c Combine like terms: -2c + 2c = 0 0 = -1 + 2c Simplifying 0 = -1 + 2c 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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