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Simplifying 2p(p + -3) + 3p(3p + -2) = 0 Reorder the terms: 2p(-3 + p) + 3p(3p + -2) = 0 (-3 * 2p + p * 2p) + 3p(3p + -2) = 0 (-6p + 2p2) + 3p(3p + -2) = 0 Reorder the terms: -6p + 2p2 + 3p(-2 + 3p) = 0 -6p + 2p2 + (-2 * 3p + 3p * 3p) = 0 -6p + 2p2 + (-6p + 9p2) = 0 Reorder the terms: -6p + -6p + 2p2 + 9p2 = 0 Combine like terms: -6p + -6p = -12p -12p + 2p2 + 9p2 = 0 Combine like terms: 2p2 + 9p2 = 11p2 -12p + 11p2 = 0 Solving -12p + 11p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-12 + 11p) = 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 '(-12 + 11p)' equal to zero and attempt to solve: Simplifying -12 + 11p = 0 Solving -12 + 11p = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11p = 0 + 12 11p = 0 + 12 Combine like terms: 0 + 12 = 12 11p = 12 Divide each side by '11'. p = 1.090909091 Simplifying p = 1.090909091Solution
p = {0, 1.090909091}
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