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Simplifying 27x + 15Y(15y + -400) = 1440 Reorder the terms: 27x + 15Y(-400 + 15y) = 1440 27x + (-400 * 15Y + 15y * 15Y) = 1440 27x + (-6000Y + 225yY) = 1440 Reorder the terms: -6000Y + 27x + 225yY = 1440 Solving -6000Y + 27x + 225yY = 1440 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-27x' to each side of the equation. -6000Y + 27x + -27x + 225yY = 1440 + -27x Combine like terms: 27x + -27x = 0 -6000Y + 0 + 225yY = 1440 + -27x -6000Y + 225yY = 1440 + -27x Reorder the terms: -1440 + -6000Y + 27x + 225yY = 1440 + -27x + -1440 + 27x Reorder the terms: -1440 + -6000Y + 27x + 225yY = 1440 + -1440 + -27x + 27x Combine like terms: 1440 + -1440 = 0 -1440 + -6000Y + 27x + 225yY = 0 + -27x + 27x -1440 + -6000Y + 27x + 225yY = -27x + 27x Combine like terms: -27x + 27x = 0 -1440 + -6000Y + 27x + 225yY = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-480 + -2000Y + 9x + 75yY) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-480 + -2000Y + 9x + 75yY)' equal to zero and attempt to solve: Simplifying -480 + -2000Y + 9x + 75yY = 0 Solving -480 + -2000Y + 9x + 75yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '480' to each side of the equation. -480 + -2000Y + 9x + 480 + 75yY = 0 + 480 Reorder the terms: -480 + 480 + -2000Y + 9x + 75yY = 0 + 480 Combine like terms: -480 + 480 = 0 0 + -2000Y + 9x + 75yY = 0 + 480 -2000Y + 9x + 75yY = 0 + 480 Combine like terms: 0 + 480 = 480 -2000Y + 9x + 75yY = 480 Add '-9x' to each side of the equation. -2000Y + 9x + -9x + 75yY = 480 + -9x Combine like terms: 9x + -9x = 0 -2000Y + 0 + 75yY = 480 + -9x -2000Y + 75yY = 480 + -9x 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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