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Simplifying (5p + 3)(5P + -8) = 0 Reorder the terms: (3 + 5p)(5P + -8) = 0 Reorder the terms: (3 + 5p)(-8 + 5P) = 0 Multiply (3 + 5p) * (-8 + 5P) (3(-8 + 5P) + 5p * (-8 + 5P)) = 0 ((-8 * 3 + 5P * 3) + 5p * (-8 + 5P)) = 0 ((-24 + 15P) + 5p * (-8 + 5P)) = 0 (-24 + 15P + (-8 * 5p + 5P * 5p)) = 0 (-24 + 15P + (-40p + 25pP)) = 0 (-24 + 15P + -40p + 25pP) = 0 Solving -24 + 15P + -40p + 25pP = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 15P + -40p + 24 + 25pP = 0 + 24 Reorder the terms: -24 + 24 + 15P + -40p + 25pP = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 15P + -40p + 25pP = 0 + 24 15P + -40p + 25pP = 0 + 24 Combine like terms: 0 + 24 = 24 15P + -40p + 25pP = 24 Add '40p' to each side of the equation. 15P + -40p + 40p + 25pP = 24 + 40p Combine like terms: -40p + 40p = 0 15P + 0 + 25pP = 24 + 40p 15P + 25pP = 24 + 40p Reorder the terms: -24 + 15P + -40p + 25pP = 24 + 40p + -24 + -40p Reorder the terms: -24 + 15P + -40p + 25pP = 24 + -24 + 40p + -40p Combine like terms: 24 + -24 = 0 -24 + 15P + -40p + 25pP = 0 + 40p + -40p -24 + 15P + -40p + 25pP = 40p + -40p Combine like terms: 40p + -40p = 0 -24 + 15P + -40p + 25pP = 0 The solution to this equation could not be determined.
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