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Simplifying 12y(1 + 5x) + -12 = 60x (1 * 12y + 5x * 12y) + -12 = 60x Reorder the terms: (60xy + 12y) + -12 = 60x (60xy + 12y) + -12 = 60x Reorder the terms: -12 + 60xy + 12y = 60x Solving -12 + 60xy + 12y = 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -12 + 60xy + -60x + 12y = 60x + -60x Reorder the terms: -12 + -60x + 60xy + 12y = 60x + -60x Combine like terms: 60x + -60x = 0 -12 + -60x + 60xy + 12y = 0 Add '12' to each side of the equation. -12 + -60x + 60xy + 12 + 12y = 0 + 12 Reorder the terms: -12 + 12 + -60x + 60xy + 12y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -60x + 60xy + 12y = 0 + 12 -60x + 60xy + 12y = 0 + 12 Combine like terms: 0 + 12 = 12 -60x + 60xy + 12y = 12 Add '-12y' to each side of the equation. -60x + 60xy + 12y + -12y = 12 + -12y Combine like terms: 12y + -12y = 0 -60x + 60xy + 0 = 12 + -12y -60x + 60xy = 12 + -12y Reorder the terms: -12 + -60x + 60xy + 12y = 12 + -12y + -12 + 12y Reorder the terms: -12 + -60x + 60xy + 12y = 12 + -12 + -12y + 12y Combine like terms: 12 + -12 = 0 -12 + -60x + 60xy + 12y = 0 + -12y + 12y -12 + -60x + 60xy + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -12 + -60x + 60xy + 12y = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-1 + -5x + 5xy + y) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1 + -5x + 5xy + y)' equal to zero and attempt to solve: Simplifying -1 + -5x + 5xy + y = 0 Solving -1 + -5x + 5xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5x + 5xy + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + -5x + 5xy + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x + 5xy + y = 0 + 1 -5x + 5xy + y = 0 + 1 Combine like terms: 0 + 1 = 1 -5x + 5xy + y = 1 Add '-1y' to each side of the equation. -5x + 5xy + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 -5x + 5xy + 0 = 1 + -1y -5x + 5xy = 1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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