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Simplifying (Y2 + -8)(9y2 + -9y + 9) = 0 Reorder the terms: (-8 + Y2)(9y2 + -9y + 9) = 0 Reorder the terms: (-8 + Y2)(9 + -9y + 9y2) = 0 Multiply (-8 + Y2) * (9 + -9y + 9y2) (-8(9 + -9y + 9y2) + Y2(9 + -9y + 9y2)) = 0 ((9 * -8 + -9y * -8 + 9y2 * -8) + Y2(9 + -9y + 9y2)) = 0 ((-72 + 72y + -72y2) + Y2(9 + -9y + 9y2)) = 0 (-72 + 72y + -72y2 + (9 * Y2 + -9y * Y2 + 9y2 * Y2)) = 0 (-72 + 72y + -72y2 + (9Y2 + -9yY2 + 9y2Y2)) = 0 Reorder the terms: (-72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2) = 0 (-72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2) = 0 Solving -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 9Y2 + 72y + -9yY2 + -72y2 + 72 + 9y2Y2 = 0 + 72 Reorder the terms: -72 + 72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 + 72 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 + 72 Combine like terms: 0 + 72 = 72 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 72 Add '-72y' to each side of the equation. 9Y2 + 72y + -9yY2 + -72y2 + -72y + 9y2Y2 = 72 + -72y Reorder the terms: 9Y2 + 72y + -72y + -9yY2 + -72y2 + 9y2Y2 = 72 + -72y Combine like terms: 72y + -72y = 0 9Y2 + 0 + -9yY2 + -72y2 + 9y2Y2 = 72 + -72y 9Y2 + -9yY2 + -72y2 + 9y2Y2 = 72 + -72y Add '72y2' to each side of the equation. 9Y2 + -9yY2 + -72y2 + 72y2 + 9y2Y2 = 72 + -72y + 72y2 Combine like terms: -72y2 + 72y2 = 0 9Y2 + -9yY2 + 0 + 9y2Y2 = 72 + -72y + 72y2 9Y2 + -9yY2 + 9y2Y2 = 72 + -72y + 72y2 Reorder the terms: -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 72 + -72y + 72y2 + -72 + 72y + -72y2 Reorder the terms: -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 72 + -72 + -72y + 72y + 72y2 + -72y2 Combine like terms: 72 + -72 = 0 -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 + -72y + 72y + 72y2 + -72y2 -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = -72y + 72y + 72y2 + -72y2 Combine like terms: -72y + 72y = 0 -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 + 72y2 + -72y2 -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 72y2 + -72y2 Combine like terms: 72y2 + -72y2 = 0 -72 + 9Y2 + 72y + -9yY2 + -72y2 + 9y2Y2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-8 + Y2 + 8y + -1yY2 + -8y2 + y2Y2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-8 + Y2 + 8y + -1yY2 + -8y2 + y2Y2)' equal to zero and attempt to solve: Simplifying -8 + Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 0 Solving -8 + Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 0 Move all terms containing Y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + Y2 + 8y + -1yY2 + -8y2 + 8 + y2Y2 = 0 + 8 Reorder the terms: -8 + 8 + Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 0 + 8 Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 0 + 8 Combine like terms: 0 + 8 = 8 Y2 + 8y + -1yY2 + -8y2 + y2Y2 = 8 Add '-8y' to each side of the equation. Y2 + 8y + -1yY2 + -8y2 + -8y + y2Y2 = 8 + -8y Reorder the terms: Y2 + 8y + -8y + -1yY2 + -8y2 + y2Y2 = 8 + -8y Combine like terms: 8y + -8y = 0 Y2 + 0 + -1yY2 + -8y2 + y2Y2 = 8 + -8y Y2 + -1yY2 + -8y2 + y2Y2 = 8 + -8y Add '8y2' to each side of the equation. Y2 + -1yY2 + -8y2 + 8y2 + y2Y2 = 8 + -8y + 8y2 Combine like terms: -8y2 + 8y2 = 0 Y2 + -1yY2 + 0 + y2Y2 = 8 + -8y + 8y2 Y2 + -1yY2 + y2Y2 = 8 + -8y + 8y2 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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