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Simplifying 2x2 * y + 3y2 = 6 Multiply x2 * y 2x2y + 3y2 = 6 Solving 2x2y + 3y2 = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 2x2y + 3y2 + -3y2 = 6 + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x2y + 0 = 6 + -3y2 2x2y = 6 + -3y2 Divide each side by '2y'. x2 = 3y-1 + -1.5y Simplifying x2 = 3y-1 + -1.5y Reorder the terms: x2 + -3y-1 + 1.5y = 3y-1 + -3y-1 + -1.5y + 1.5y Combine like terms: 3y-1 + -3y-1 = 0 x2 + -3y-1 + 1.5y = 0 + -1.5y + 1.5y x2 + -3y-1 + 1.5y = -1.5y + 1.5y Combine like terms: -1.5y + 1.5y = 0.0 x2 + -3y-1 + 1.5y = 0.0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -3 + 1.5y2) = 0.0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -3 + 1.5y2)' equal to zero and attempt to solve: Simplifying x2y + -3 + 1.5y2 = 0 Reorder the terms: -3 + x2y + 1.5y2 = 0 Solving -3 + x2y + 1.5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x2y + 3 + 1.5y2 = 0 + 3 Reorder the terms: -3 + 3 + x2y + 1.5y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2y + 1.5y2 = 0 + 3 x2y + 1.5y2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2y + 1.5y2 = 3 Add '-1.5y2' to each side of the equation. x2y + 1.5y2 + -1.5y2 = 3 + -1.5y2 Combine like terms: 1.5y2 + -1.5y2 = 0.0 x2y + 0.0 = 3 + -1.5y2 x2y = 3 + -1.5y2 Divide each side by 'y'. x2 = 3y-1 + -1.5y Simplifying x2 = 3y-1 + -1.5y 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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