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Simplifying 3x2y + 4y = 7x2y2 Solving 3x2y + 4y = 7x2y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x2y2' to each side of the equation. 3x2y + -7x2y2 + 4y = 7x2y2 + -7x2y2 Combine like terms: 7x2y2 + -7x2y2 = 0 3x2y + -7x2y2 + 4y = 0 Add '-4y' to each side of the equation. 3x2y + -7x2y2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x2y + -7x2y2 + 0 = 0 + -4y 3x2y + -7x2y2 = 0 + -4y Remove the zero: 3x2y + -7x2y2 = -4y Combine like terms: -4y + 4y = 0 3x2y + -7x2y2 + 4y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(3x2 + -7x2y + 4) = 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 '(3x2 + -7x2y + 4)' equal to zero and attempt to solve: Simplifying 3x2 + -7x2y + 4 = 0 Reorder the terms: 4 + 3x2 + -7x2y = 0 Solving 4 + 3x2 + -7x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x2 + -4 + -7x2y = 0 + -4 Reorder the terms: 4 + -4 + 3x2 + -7x2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 + -7x2y = 0 + -4 3x2 + -7x2y = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 + -7x2y = -4 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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