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Simplifying 9x2y + -25y2 = 225 Solving 9x2y + -25y2 = 225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25y2' to each side of the equation. 9x2y + -25y2 + 25y2 = 225 + 25y2 Combine like terms: -25y2 + 25y2 = 0 9x2y + 0 = 225 + 25y2 9x2y = 225 + 25y2 Divide each side by '9y'. x2 = 25y-1 + 2.777777778y Simplifying x2 = 25y-1 + 2.777777778y Reorder the terms: x2 + -25y-1 + -2.777777778y = 25y-1 + -25y-1 + 2.777777778y + -2.777777778y Combine like terms: 25y-1 + -25y-1 = 0 x2 + -25y-1 + -2.777777778y = 0 + 2.777777778y + -2.777777778y x2 + -25y-1 + -2.777777778y = 2.777777778y + -2.777777778y Combine like terms: 2.777777778y + -2.777777778y = 0.000000000 x2 + -25y-1 + -2.777777778y = 0.000000000 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -25 + -2.777777778y2) = 0.000000000Subproblem 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 + -25 + -2.777777778y2)' equal to zero and attempt to solve: Simplifying x2y + -25 + -2.777777778y2 = 0 Reorder the terms: -25 + x2y + -2.777777778y2 = 0 Solving -25 + x2y + -2.777777778y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + x2y + 25 + -2.777777778y2 = 0 + 25 Reorder the terms: -25 + 25 + x2y + -2.777777778y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x2y + -2.777777778y2 = 0 + 25 x2y + -2.777777778y2 = 0 + 25 Combine like terms: 0 + 25 = 25 x2y + -2.777777778y2 = 25 Add '2.777777778y2' to each side of the equation. x2y + -2.777777778y2 + 2.777777778y2 = 25 + 2.777777778y2 Combine like terms: -2.777777778y2 + 2.777777778y2 = 0.000000000 x2y + 0.000000000 = 25 + 2.777777778y2 x2y = 25 + 2.777777778y2 Divide each side by 'y'. x2 = 25y-1 + 2.777777778y Simplifying x2 = 25y-1 + 2.777777778y 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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