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Simplifying 12x2y2 = x(3xy) Remove parenthesis around (3xy) 12x2y2 = x * 3xy Reorder the terms for easier multiplication: 12x2y2 = 3x * xy Multiply x * xy 12x2y2 = 3x2y Solving 12x2y2 = 3x2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x2y' to each side of the equation. -3x2y + 12x2y2 = 3x2y + -3x2y Combine like terms: 3x2y + -3x2y = 0 -3x2y + 12x2y2 = 0 Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(-1 + 4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 4y)' equal to zero and attempt to solve: Simplifying -1 + 4y = 0 Solving -1 + 4y = 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 + 4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4y = 0 + 1 4y = 0 + 1 Combine like terms: 0 + 1 = 1 4y = 1 Add '-4y' to each side of the equation. 4y + -4y = 1 + -4y Combine like terms: 4y + -4y = 0 0 = 1 + -4y Simplifying 0 = 1 + -4y 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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