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Simplifying 4y + 10x(3y + -27) = 120 Reorder the terms: 4y + 10x(-27 + 3y) = 120 4y + (-27 * 10x + 3y * 10x) = 120 4y + (-270x + 30xy) = 120 Reorder the terms: -270x + 30xy + 4y = 120 Solving -270x + 30xy + 4y = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -270x + 30xy + 4y + -4y = 120 + -4y Combine like terms: 4y + -4y = 0 -270x + 30xy + 0 = 120 + -4y -270x + 30xy = 120 + -4y Reorder the terms: -120 + -270x + 30xy + 4y = 120 + -4y + -120 + 4y Reorder the terms: -120 + -270x + 30xy + 4y = 120 + -120 + -4y + 4y Combine like terms: 120 + -120 = 0 -120 + -270x + 30xy + 4y = 0 + -4y + 4y -120 + -270x + 30xy + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -120 + -270x + 30xy + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -135x + 15xy + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + -135x + 15xy + 2y)' equal to zero and attempt to solve: Simplifying -60 + -135x + 15xy + 2y = 0 Solving -60 + -135x + 15xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -135x + 15xy + 60 + 2y = 0 + 60 Reorder the terms: -60 + 60 + -135x + 15xy + 2y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -135x + 15xy + 2y = 0 + 60 -135x + 15xy + 2y = 0 + 60 Combine like terms: 0 + 60 = 60 -135x + 15xy + 2y = 60 Add '-2y' to each side of the equation. -135x + 15xy + 2y + -2y = 60 + -2y Combine like terms: 2y + -2y = 0 -135x + 15xy + 0 = 60 + -2y -135x + 15xy = 60 + -2y 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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