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Simplifying (12x + 15)(12X + -15) = 144x + -225 Reorder the terms: (15 + 12x)(12X + -15) = 144x + -225 Reorder the terms: (15 + 12x)(-15 + 12X) = 144x + -225 Multiply (15 + 12x) * (-15 + 12X) (15(-15 + 12X) + 12x * (-15 + 12X)) = 144x + -225 ((-15 * 15 + 12X * 15) + 12x * (-15 + 12X)) = 144x + -225 ((-225 + 180X) + 12x * (-15 + 12X)) = 144x + -225 (-225 + 180X + (-15 * 12x + 12X * 12x)) = 144x + -225 (-225 + 180X + (-180x + 144xX)) = 144x + -225 (-225 + 180X + -180x + 144xX) = 144x + -225 Reorder the terms: -225 + 180X + -180x + 144xX = -225 + 144x Add '225' to each side of the equation. -225 + 180X + -180x + 225 + 144xX = -225 + 225 + 144x Reorder the terms: -225 + 225 + 180X + -180x + 144xX = -225 + 225 + 144x Combine like terms: -225 + 225 = 0 0 + 180X + -180x + 144xX = -225 + 225 + 144x 180X + -180x + 144xX = -225 + 225 + 144x Combine like terms: -225 + 225 = 0 180X + -180x + 144xX = 0 + 144x 180X + -180x + 144xX = 144x Solving 180X + -180x + 144xX = 144x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '180x' to each side of the equation. 180X + -180x + 180x + 144xX = 144x + 180x Combine like terms: -180x + 180x = 0 180X + 0 + 144xX = 144x + 180x 180X + 144xX = 144x + 180x Combine like terms: 144x + 180x = 324x 180X + 144xX = 324x Reorder the terms: 180X + -324x + 144xX = 324x + -324x Combine like terms: 324x + -324x = 0 180X + -324x + 144xX = 0 Factor out the Greatest Common Factor (GCF), '36'. 36(5X + -9x + 4xX) = 0 Ignore the factor 36.Subproblem 1
Set the factor '(5X + -9x + 4xX)' equal to zero and attempt to solve: Simplifying 5X + -9x + 4xX = 0 Solving 5X + -9x + 4xX = 0 Move all terms containing X to the left, all other terms to the right. Add '9x' to each side of the equation. 5X + -9x + 9x + 4xX = 0 + 9x Combine like terms: -9x + 9x = 0 5X + 0 + 4xX = 0 + 9x 5X + 4xX = 0 + 9x Remove the zero: 5X + 4xX = 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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