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Simplifying (x + 3)(10y2 + 72y + -64) = 0 Reorder the terms: (3 + x)(10y2 + 72y + -64) = 0 Reorder the terms: (3 + x)(-64 + 72y + 10y2) = 0 Multiply (3 + x) * (-64 + 72y + 10y2) (3(-64 + 72y + 10y2) + x(-64 + 72y + 10y2)) = 0 ((-64 * 3 + 72y * 3 + 10y2 * 3) + x(-64 + 72y + 10y2)) = 0 ((-192 + 216y + 30y2) + x(-64 + 72y + 10y2)) = 0 (-192 + 216y + 30y2 + (-64 * x + 72y * x + 10y2 * x)) = 0 (-192 + 216y + 30y2 + (-64x + 72xy + 10xy2)) = 0 Reorder the terms: (-192 + -64x + 72xy + 10xy2 + 216y + 30y2) = 0 (-192 + -64x + 72xy + 10xy2 + 216y + 30y2) = 0 Solving -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '192' to each side of the equation. -192 + -64x + 72xy + 10xy2 + 216y + 192 + 30y2 = 0 + 192 Reorder the terms: -192 + 192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 + 192 Combine like terms: -192 + 192 = 0 0 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 + 192 -64x + 72xy + 10xy2 + 216y + 30y2 = 0 + 192 Combine like terms: 0 + 192 = 192 -64x + 72xy + 10xy2 + 216y + 30y2 = 192 Add '-216y' to each side of the equation. -64x + 72xy + 10xy2 + 216y + -216y + 30y2 = 192 + -216y Combine like terms: 216y + -216y = 0 -64x + 72xy + 10xy2 + 0 + 30y2 = 192 + -216y -64x + 72xy + 10xy2 + 30y2 = 192 + -216y Add '-30y2' to each side of the equation. -64x + 72xy + 10xy2 + 30y2 + -30y2 = 192 + -216y + -30y2 Combine like terms: 30y2 + -30y2 = 0 -64x + 72xy + 10xy2 + 0 = 192 + -216y + -30y2 -64x + 72xy + 10xy2 = 192 + -216y + -30y2 Reorder the terms: -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 192 + -216y + -30y2 + -192 + 216y + 30y2 Reorder the terms: -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 192 + -192 + -216y + 216y + -30y2 + 30y2 Combine like terms: 192 + -192 = 0 -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 + -216y + 216y + -30y2 + 30y2 -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = -216y + 216y + -30y2 + 30y2 Combine like terms: -216y + 216y = 0 -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 + -30y2 + 30y2 -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = -30y2 + 30y2 Combine like terms: -30y2 + 30y2 = 0 -192 + -64x + 72xy + 10xy2 + 216y + 30y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-96 + -32x + 36xy + 5xy2 + 108y + 15y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-96 + -32x + 36xy + 5xy2 + 108y + 15y2)' equal to zero and attempt to solve: Simplifying -96 + -32x + 36xy + 5xy2 + 108y + 15y2 = 0 Solving -96 + -32x + 36xy + 5xy2 + 108y + 15y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + -32x + 36xy + 5xy2 + 108y + 96 + 15y2 = 0 + 96 Reorder the terms: -96 + 96 + -32x + 36xy + 5xy2 + 108y + 15y2 = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -32x + 36xy + 5xy2 + 108y + 15y2 = 0 + 96 -32x + 36xy + 5xy2 + 108y + 15y2 = 0 + 96 Combine like terms: 0 + 96 = 96 -32x + 36xy + 5xy2 + 108y + 15y2 = 96 Add '-108y' to each side of the equation. -32x + 36xy + 5xy2 + 108y + -108y + 15y2 = 96 + -108y Combine like terms: 108y + -108y = 0 -32x + 36xy + 5xy2 + 0 + 15y2 = 96 + -108y -32x + 36xy + 5xy2 + 15y2 = 96 + -108y Add '-15y2' to each side of the equation. -32x + 36xy + 5xy2 + 15y2 + -15y2 = 96 + -108y + -15y2 Combine like terms: 15y2 + -15y2 = 0 -32x + 36xy + 5xy2 + 0 = 96 + -108y + -15y2 -32x + 36xy + 5xy2 = 96 + -108y + -15y2 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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