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Simplifying 5p(p + 4) + 3p = 0 Reorder the terms: 5p(4 + p) + 3p = 0 (4 * 5p + p * 5p) + 3p = 0 (20p + 5p2) + 3p = 0 Reorder the terms: 20p + 3p + 5p2 = 0 Combine like terms: 20p + 3p = 23p 23p + 5p2 = 0 Solving 23p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(23 + 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 '(23 + 5p)' equal to zero and attempt to solve: Simplifying 23 + 5p = 0 Solving 23 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5p = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5p = 0 + -23 5p = 0 + -23 Combine like terms: 0 + -23 = -23 5p = -23 Divide each side by '5'. p = -4.6 Simplifying p = -4.6Solution
p = {0, -4.6}
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