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Simplifying 110X(x + 12) = 130Xx Reorder the terms: 110X(12 + x) = 130Xx (12 * 110X + x * 110X) = 130Xx (1320X + 110xX) = 130Xx Solving 1320X + 110xX = 130xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-130xX' to each side of the equation. 1320X + 110xX + -130xX = 130xX + -130xX Combine like terms: 110xX + -130xX = -20xX 1320X + -20xX = 130xX + -130xX Combine like terms: 130xX + -130xX = 0 1320X + -20xX = 0 Factor out the Greatest Common Factor (GCF), '20X'. 20X(66 + -1x) = 0 Ignore the factor 20.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 '(66 + -1x)' equal to zero and attempt to solve: Simplifying 66 + -1x = 0 Solving 66 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -1x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -1x = 0 + -66 -1x = 0 + -66 Combine like terms: 0 + -66 = -66 -1x = -66 Add 'x' to each side of the equation. -1x + x = -66 + x Combine like terms: -1x + x = 0 0 = -66 + x Simplifying 0 = -66 + x 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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