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Simplifying p(3x + 6) = 15x + 30 Reorder the terms: p(6 + 3x) = 15x + 30 (6 * p + 3x * p) = 15x + 30 (6p + 3px) = 15x + 30 Reorder the terms: 6p + 3px = 30 + 15x Solving 6p + 3px = 30 + 15x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Reorder the terms: -30 + 6p + 3px + -15x = 30 + 15x + -30 + -15x Reorder the terms: -30 + 6p + 3px + -15x = 30 + -30 + 15x + -15x Combine like terms: 30 + -30 = 0 -30 + 6p + 3px + -15x = 0 + 15x + -15x -30 + 6p + 3px + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 -30 + 6p + 3px + -15x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 2p + px + -5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + 2p + px + -5x)' equal to zero and attempt to solve: Simplifying -10 + 2p + px + -5x = 0 Solving -10 + 2p + px + -5x = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2p + px + 10 + -5x = 0 + 10 Reorder the terms: -10 + 10 + 2p + px + -5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2p + px + -5x = 0 + 10 2p + px + -5x = 0 + 10 Combine like terms: 0 + 10 = 10 2p + px + -5x = 10 Add '5x' to each side of the equation. 2p + px + -5x + 5x = 10 + 5x Combine like terms: -5x + 5x = 0 2p + px + 0 = 10 + 5x 2p + px = 10 + 5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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