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Simplifying 5(x + -5)(X + 5) = 55 Reorder the terms: 5(-5 + x)(X + 5) = 55 Reorder the terms: 5(-5 + x)(5 + X) = 55 Multiply (-5 + x) * (5 + X) 5(-5(5 + X) + x(5 + X)) = 55 5((5 * -5 + X * -5) + x(5 + X)) = 55 5((-25 + -5X) + x(5 + X)) = 55 5(-25 + -5X + (5 * x + X * x)) = 55 5(-25 + -5X + (5x + xX)) = 55 5(-25 + -5X + 5x + xX) = 55 (-25 * 5 + -5X * 5 + 5x * 5 + xX * 5) = 55 (-125 + -25X + 25x + 5xX) = 55 Solving -125 + -25X + 25x + 5xX = 55 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '125' to each side of the equation. -125 + -25X + 25x + 125 + 5xX = 55 + 125 Reorder the terms: -125 + 125 + -25X + 25x + 5xX = 55 + 125 Combine like terms: -125 + 125 = 0 0 + -25X + 25x + 5xX = 55 + 125 -25X + 25x + 5xX = 55 + 125 Combine like terms: 55 + 125 = 180 -25X + 25x + 5xX = 180 Add '-25x' to each side of the equation. -25X + 25x + -25x + 5xX = 180 + -25x Combine like terms: 25x + -25x = 0 -25X + 0 + 5xX = 180 + -25x -25X + 5xX = 180 + -25x Reorder the terms: -180 + -25X + 25x + 5xX = 180 + -25x + -180 + 25x Reorder the terms: -180 + -25X + 25x + 5xX = 180 + -180 + -25x + 25x Combine like terms: 180 + -180 = 0 -180 + -25X + 25x + 5xX = 0 + -25x + 25x -180 + -25X + 25x + 5xX = -25x + 25x Combine like terms: -25x + 25x = 0 -180 + -25X + 25x + 5xX = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-36 + -5X + 5x + xX) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-36 + -5X + 5x + xX)' equal to zero and attempt to solve: Simplifying -36 + -5X + 5x + xX = 0 Solving -36 + -5X + 5x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -5X + 5x + 36 + xX = 0 + 36 Reorder the terms: -36 + 36 + -5X + 5x + xX = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -5X + 5x + xX = 0 + 36 -5X + 5x + xX = 0 + 36 Combine like terms: 0 + 36 = 36 -5X + 5x + xX = 36 Add '-5x' to each side of the equation. -5X + 5x + -5x + xX = 36 + -5x Combine like terms: 5x + -5x = 0 -5X + 0 + xX = 36 + -5x -5X + xX = 36 + -5x 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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