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Simplifying 2p(3p + 4) + p(p + 3) = 0 Reorder the terms: 2p(4 + 3p) + p(p + 3) = 0 (4 * 2p + 3p * 2p) + p(p + 3) = 0 (8p + 6p2) + p(p + 3) = 0 Reorder the terms: 8p + 6p2 + p(3 + p) = 0 8p + 6p2 + (3 * p + p * p) = 0 8p + 6p2 + (3p + p2) = 0 Reorder the terms: 8p + 3p + 6p2 + p2 = 0 Combine like terms: 8p + 3p = 11p 11p + 6p2 + p2 = 0 Combine like terms: 6p2 + p2 = 7p2 11p + 7p2 = 0 Solving 11p + 7p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(11 + 7p) = 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 '(11 + 7p)' equal to zero and attempt to solve: Simplifying 11 + 7p = 0 Solving 11 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7p = 0 + -11 7p = 0 + -11 Combine like terms: 0 + -11 = -11 7p = -11 Divide each side by '7'. p = -1.571428571 Simplifying p = -1.571428571Solution
p = {0, -1.571428571}
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