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Simplifying px(25 + -3xy) = p (25 * px + -3xy * px) = p (25px + -3px2y) = p Solving 25px + -3px2y = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 25px + -1p + -3px2y = p + -1p Reorder the terms: -1p + 25px + -3px2y = p + -1p Combine like terms: p + -1p = 0 -1p + 25px + -3px2y = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-1 + 25x + -3x2y) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-1 + 25x + -3x2y)' equal to zero and attempt to solve: Simplifying -1 + 25x + -3x2y = 0 Solving -1 + 25x + -3x2y = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 25x + 1 + -3x2y = 0 + 1 Reorder the terms: -1 + 1 + 25x + -3x2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 25x + -3x2y = 0 + 1 25x + -3x2y = 0 + 1 Combine like terms: 0 + 1 = 1 25x + -3x2y = 1 Add '-25x' to each side of the equation. 25x + -25x + -3x2y = 1 + -25x Combine like terms: 25x + -25x = 0 0 + -3x2y = 1 + -25x -3x2y = 1 + -25x Add '3x2y' to each side of the equation. -3x2y + 3x2y = 1 + -25x + 3x2y Combine like terms: -3x2y + 3x2y = 0 0 = 1 + -25x + 3x2y Simplifying 0 = 1 + -25x + 3x2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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