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Simplifying 4y2 + -1x2y = 16 Reorder the terms: -1x2y + 4y2 = 16 Solving -1x2y + 4y2 = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. -1x2y + 4y2 + -4y2 = 16 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -1x2y + 0 = 16 + -4y2 -1x2y = 16 + -4y2 Divide each side by '-1y'. x2 = -16y-1 + 4y Simplifying x2 = -16y-1 + 4y Reorder the terms: x2 + 16y-1 + -4y = -16y-1 + 16y-1 + 4y + -4y Combine like terms: -16y-1 + 16y-1 = 0 x2 + 16y-1 + -4y = 0 + 4y + -4y x2 + 16y-1 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 x2 + 16y-1 + -4y = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + 16 + -4y2) = 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 + 16 + -4y2)' equal to zero and attempt to solve: Simplifying x2y + 16 + -4y2 = 0 Reorder the terms: 16 + x2y + -4y2 = 0 Solving 16 + x2y + -4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + x2y + -16 + -4y2 = 0 + -16 Reorder the terms: 16 + -16 + x2y + -4y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2y + -4y2 = 0 + -16 x2y + -4y2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2y + -4y2 = -16 Add '4y2' to each side of the equation. x2y + -4y2 + 4y2 = -16 + 4y2 Combine like terms: -4y2 + 4y2 = 0 x2y + 0 = -16 + 4y2 x2y = -16 + 4y2 Divide each side by 'y'. x2 = -16y-1 + 4y Simplifying x2 = -16y-1 + 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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