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Simplifying 8p2 + -3p2 = 15p + 7p Combine like terms: 8p2 + -3p2 = 5p2 5p2 = 15p + 7p Combine like terms: 15p + 7p = 22p 5p2 = 22p Solving 5p2 = 22p Solving for variable 'p'. Reorder the terms: -22p + 5p2 = 22p + -22p Combine like terms: 22p + -22p = 0 -22p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-22 + 5p) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-22 + 5p)' equal to zero and attempt to solve: Simplifying -22 + 5p = 0 Solving -22 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5p = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 5p = 0 + 22 5p = 0 + 22 Combine like terms: 0 + 22 = 22 5p = 22 Divide each side by '5'. p = 4.4 Simplifying p = 4.4Solution
p = {0, 4.4}
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