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Simplifying -3x + -12y + 30yx = -12 Reorder the terms: -3x + 30xy + -12y = -12 Solving -3x + 30xy + -12y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -3x + 30xy + -12y + 12y = -12 + 12y Combine like terms: -12y + 12y = 0 -3x + 30xy + 0 = -12 + 12y -3x + 30xy = -12 + 12y Reorder the terms: 12 + -3x + 30xy + -12y = -12 + 12y + 12 + -12y Reorder the terms: 12 + -3x + 30xy + -12y = -12 + 12 + 12y + -12y Combine like terms: -12 + 12 = 0 12 + -3x + 30xy + -12y = 0 + 12y + -12y 12 + -3x + 30xy + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 12 + -3x + 30xy + -12y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -1x + 10xy + -4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -1x + 10xy + -4y)' equal to zero and attempt to solve: Simplifying 4 + -1x + 10xy + -4y = 0 Solving 4 + -1x + 10xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1x + 10xy + -4 + -4y = 0 + -4 Reorder the terms: 4 + -4 + -1x + 10xy + -4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + 10xy + -4y = 0 + -4 -1x + 10xy + -4y = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + 10xy + -4y = -4 Add '4y' to each side of the equation. -1x + 10xy + -4y + 4y = -4 + 4y Combine like terms: -4y + 4y = 0 -1x + 10xy + 0 = -4 + 4y -1x + 10xy = -4 + 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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