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Simplifying (2x + 7)(3p + -5) = 0 Reorder the terms: (7 + 2x)(3p + -5) = 0 Reorder the terms: (7 + 2x)(-5 + 3p) = 0 Multiply (7 + 2x) * (-5 + 3p) (7(-5 + 3p) + 2x * (-5 + 3p)) = 0 ((-5 * 7 + 3p * 7) + 2x * (-5 + 3p)) = 0 ((-35 + 21p) + 2x * (-5 + 3p)) = 0 (-35 + 21p + (-5 * 2x + 3p * 2x)) = 0 Reorder the terms: (-35 + 21p + (6px + -10x)) = 0 (-35 + 21p + (6px + -10x)) = 0 (-35 + 21p + 6px + -10x) = 0 Solving -35 + 21p + 6px + -10x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 21p + 6px + 35 + -10x = 0 + 35 Reorder the terms: -35 + 35 + 21p + 6px + -10x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 21p + 6px + -10x = 0 + 35 21p + 6px + -10x = 0 + 35 Combine like terms: 0 + 35 = 35 21p + 6px + -10x = 35 Add '10x' to each side of the equation. 21p + 6px + -10x + 10x = 35 + 10x Combine like terms: -10x + 10x = 0 21p + 6px + 0 = 35 + 10x 21p + 6px = 35 + 10x Reorder the terms: -35 + 21p + 6px + -10x = 35 + 10x + -35 + -10x Reorder the terms: -35 + 21p + 6px + -10x = 35 + -35 + 10x + -10x Combine like terms: 35 + -35 = 0 -35 + 21p + 6px + -10x = 0 + 10x + -10x -35 + 21p + 6px + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 21p + 6px + -10x = 0 The solution to this equation could not be determined.
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