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Simplifying 36xy2 + -84xy + 49y2 = 0 Reorder the terms: -84xy + 36xy2 + 49y2 = 0 Solving -84xy + 36xy2 + 49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y2' to each side of the equation. -84xy + 36xy2 + 49y2 + -49y2 = 0 + -49y2 Combine like terms: 49y2 + -49y2 = 0 -84xy + 36xy2 + 0 = 0 + -49y2 -84xy + 36xy2 = 0 + -49y2 Remove the zero: -84xy + 36xy2 = -49y2 Combine like terms: -49y2 + 49y2 = 0 -84xy + 36xy2 + 49y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-84x + 36xy + 49y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-84x + 36xy + 49y)' equal to zero and attempt to solve: Simplifying -84x + 36xy + 49y = 0 Solving -84x + 36xy + 49y = 0 Move all terms containing x to the left, all other terms to the right. Add '-49y' to each side of the equation. -84x + 36xy + 49y + -49y = 0 + -49y Combine like terms: 49y + -49y = 0 -84x + 36xy + 0 = 0 + -49y -84x + 36xy = 0 + -49y Remove the zero: -84x + 36xy = -49y 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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