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Simplifying (3x + 1)(p + -5) = 0 Reorder the terms: (1 + 3x)(p + -5) = 0 Reorder the terms: (1 + 3x)(-5 + p) = 0 Multiply (1 + 3x) * (-5 + p) (1(-5 + p) + 3x * (-5 + p)) = 0 ((-5 * 1 + p * 1) + 3x * (-5 + p)) = 0 ((-5 + 1p) + 3x * (-5 + p)) = 0 (-5 + 1p + (-5 * 3x + p * 3x)) = 0 Reorder the terms: (-5 + 1p + (3px + -15x)) = 0 (-5 + 1p + (3px + -15x)) = 0 (-5 + 1p + 3px + -15x) = 0 Solving -5 + 1p + 3px + -15x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1p + 3px + 5 + -15x = 0 + 5 Reorder the terms: -5 + 5 + 1p + 3px + -15x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1p + 3px + -15x = 0 + 5 1p + 3px + -15x = 0 + 5 Combine like terms: 0 + 5 = 5 1p + 3px + -15x = 5 Add '15x' to each side of the equation. 1p + 3px + -15x + 15x = 5 + 15x Combine like terms: -15x + 15x = 0 1p + 3px + 0 = 5 + 15x 1p + 3px = 5 + 15x Reorder the terms: -5 + 1p + 3px + -15x = 5 + 15x + -5 + -15x Reorder the terms: -5 + 1p + 3px + -15x = 5 + -5 + 15x + -15x Combine like terms: 5 + -5 = 0 -5 + 1p + 3px + -15x = 0 + 15x + -15x -5 + 1p + 3px + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 -5 + 1p + 3px + -15x = 0 The solution to this equation could not be determined.
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