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Simplifying 15(x + 5) * y2 + 108(x + 5) * y + -96(x + 5) = 0 Reorder the terms: 15(5 + x) * y2 + 108(x + 5) * y + -96(x + 5) = 0 Reorder the terms for easier multiplication: 15y2(5 + x) + 108(x + 5) * y + -96(x + 5) = 0 (5 * 15y2 + x * 15y2) + 108(x + 5) * y + -96(x + 5) = 0 Reorder the terms: (15xy2 + 75y2) + 108(x + 5) * y + -96(x + 5) = 0 (15xy2 + 75y2) + 108(x + 5) * y + -96(x + 5) = 0 Reorder the terms: 15xy2 + 75y2 + 108(5 + x) * y + -96(x + 5) = 0 Reorder the terms for easier multiplication: 15xy2 + 75y2 + 108y(5 + x) + -96(x + 5) = 0 15xy2 + 75y2 + (5 * 108y + x * 108y) + -96(x + 5) = 0 Reorder the terms: 15xy2 + 75y2 + (108xy + 540y) + -96(x + 5) = 0 15xy2 + 75y2 + (108xy + 540y) + -96(x + 5) = 0 Reorder the terms: 15xy2 + 75y2 + 108xy + 540y + -96(5 + x) = 0 15xy2 + 75y2 + 108xy + 540y + (5 * -96 + x * -96) = 0 15xy2 + 75y2 + 108xy + 540y + (-480 + -96x) = 0 Reorder the terms: -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 Solving -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '480' to each side of the equation. -480 + -96x + 108xy + 15xy2 + 540y + 480 + 75y2 = 0 + 480 Reorder the terms: -480 + 480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 + 480 Combine like terms: -480 + 480 = 0 0 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 + 480 -96x + 108xy + 15xy2 + 540y + 75y2 = 0 + 480 Combine like terms: 0 + 480 = 480 -96x + 108xy + 15xy2 + 540y + 75y2 = 480 Add '-540y' to each side of the equation. -96x + 108xy + 15xy2 + 540y + -540y + 75y2 = 480 + -540y Combine like terms: 540y + -540y = 0 -96x + 108xy + 15xy2 + 0 + 75y2 = 480 + -540y -96x + 108xy + 15xy2 + 75y2 = 480 + -540y Add '-75y2' to each side of the equation. -96x + 108xy + 15xy2 + 75y2 + -75y2 = 480 + -540y + -75y2 Combine like terms: 75y2 + -75y2 = 0 -96x + 108xy + 15xy2 + 0 = 480 + -540y + -75y2 -96x + 108xy + 15xy2 = 480 + -540y + -75y2 Reorder the terms: -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 480 + -540y + -75y2 + -480 + 540y + 75y2 Reorder the terms: -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 480 + -480 + -540y + 540y + -75y2 + 75y2 Combine like terms: 480 + -480 = 0 -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 + -540y + 540y + -75y2 + 75y2 -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = -540y + 540y + -75y2 + 75y2 Combine like terms: -540y + 540y = 0 -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 + -75y2 + 75y2 -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = -75y2 + 75y2 Combine like terms: -75y2 + 75y2 = 0 -480 + -96x + 108xy + 15xy2 + 540y + 75y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-160 + -32x + 36xy + 5xy2 + 180y + 25y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-160 + -32x + 36xy + 5xy2 + 180y + 25y2)' equal to zero and attempt to solve: Simplifying -160 + -32x + 36xy + 5xy2 + 180y + 25y2 = 0 Solving -160 + -32x + 36xy + 5xy2 + 180y + 25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + -32x + 36xy + 5xy2 + 180y + 160 + 25y2 = 0 + 160 Reorder the terms: -160 + 160 + -32x + 36xy + 5xy2 + 180y + 25y2 = 0 + 160 Combine like terms: -160 + 160 = 0 0 + -32x + 36xy + 5xy2 + 180y + 25y2 = 0 + 160 -32x + 36xy + 5xy2 + 180y + 25y2 = 0 + 160 Combine like terms: 0 + 160 = 160 -32x + 36xy + 5xy2 + 180y + 25y2 = 160 Add '-180y' to each side of the equation. -32x + 36xy + 5xy2 + 180y + -180y + 25y2 = 160 + -180y Combine like terms: 180y + -180y = 0 -32x + 36xy + 5xy2 + 0 + 25y2 = 160 + -180y -32x + 36xy + 5xy2 + 25y2 = 160 + -180y Add '-25y2' to each side of the equation. -32x + 36xy + 5xy2 + 25y2 + -25y2 = 160 + -180y + -25y2 Combine like terms: 25y2 + -25y2 = 0 -32x + 36xy + 5xy2 + 0 = 160 + -180y + -25y2 -32x + 36xy + 5xy2 = 160 + -180y + -25y2 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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