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Simplifying (5 + x)(5 + -8p) = 0 Multiply (5 + x) * (5 + -8p) (5(5 + -8p) + x(5 + -8p)) = 0 ((5 * 5 + -8p * 5) + x(5 + -8p)) = 0 ((25 + -40p) + x(5 + -8p)) = 0 (25 + -40p + (5 * x + -8p * x)) = 0 Reorder the terms: (25 + -40p + (-8px + 5x)) = 0 (25 + -40p + (-8px + 5x)) = 0 (25 + -40p + -8px + 5x) = 0 Solving 25 + -40p + -8px + 5x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -40p + -8px + -25 + 5x = 0 + -25 Reorder the terms: 25 + -25 + -40p + -8px + 5x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -40p + -8px + 5x = 0 + -25 -40p + -8px + 5x = 0 + -25 Combine like terms: 0 + -25 = -25 -40p + -8px + 5x = -25 Add '-5x' to each side of the equation. -40p + -8px + 5x + -5x = -25 + -5x Combine like terms: 5x + -5x = 0 -40p + -8px + 0 = -25 + -5x -40p + -8px = -25 + -5x Reorder the terms: 25 + -40p + -8px + 5x = -25 + -5x + 25 + 5x Reorder the terms: 25 + -40p + -8px + 5x = -25 + 25 + -5x + 5x Combine like terms: -25 + 25 = 0 25 + -40p + -8px + 5x = 0 + -5x + 5x 25 + -40p + -8px + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 25 + -40p + -8px + 5x = 0 The solution to this equation could not be determined.
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