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Simplifying 3x + 12y = 15xy Solving 3x + 12y = 15xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15xy' to each side of the equation. 3x + -15xy + 12y = 15xy + -15xy Combine like terms: 15xy + -15xy = 0 3x + -15xy + 12y = 0 Add '-12y' to each side of the equation. 3x + -15xy + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 3x + -15xy + 0 = 0 + -12y 3x + -15xy = 0 + -12y Remove the zero: 3x + -15xy = -12y Combine like terms: -12y + 12y = 0 3x + -15xy + 12y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(x + -5xy + 4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(x + -5xy + 4y)' equal to zero and attempt to solve: Simplifying x + -5xy + 4y = 0 Solving x + -5xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + -5xy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + -5xy + 0 = 0 + -4y x + -5xy = 0 + -4y Remove the zero: x + -5xy = -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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