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Simplifying X + (2X) = (12X * Y) * 100Y Combine like terms: X + (2X) = 3X 3X = (12X * Y) * 100Y Multiply X * Y 3X = (12XY) * 100Y Remove parenthesis around (12XY) 3X = 12XY * 100Y Reorder the terms for easier multiplication: 3X = 12 * 100XY * Y Multiply 12 * 100 3X = 1200XY * Y Multiply XY * Y 3X = 1200XY2 Solving 3X = 1200XY2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1200XY2' to each side of the equation. 3X + -1200XY2 = 1200XY2 + -1200XY2 Combine like terms: 1200XY2 + -1200XY2 = 0 3X + -1200XY2 = 0 Factor out the Greatest Common Factor (GCF), '3X'. 3X(1 + -400Y2) = 0 Factor a difference between two squares. 3X((1 + 20Y)(1 + -20Y)) = 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 '(1 + 20Y)' equal to zero and attempt to solve: Simplifying 1 + 20Y = 0 Solving 1 + 20Y = 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 + 20Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 20Y = 0 + -1 20Y = 0 + -1 Combine like terms: 0 + -1 = -1 20Y = -1 Add '-20Y' to each side of the equation. 20Y + -20Y = -1 + -20Y Combine like terms: 20Y + -20Y = 0 0 = -1 + -20Y Simplifying 0 = -1 + -20Y 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 + -20Y)' equal to zero and attempt to solve: Simplifying 1 + -20Y = 0 Solving 1 + -20Y = 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 + -20Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -20Y = 0 + -1 -20Y = 0 + -1 Combine like terms: 0 + -1 = -1 -20Y = -1 Add '20Y' to each side of the equation. -20Y + 20Y = -1 + 20Y Combine like terms: -20Y + 20Y = 0 0 = -1 + 20Y Simplifying 0 = -1 + 20Y 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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