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Simplifying -8p(8 + -6p) + -7p(6p + -7) = 0 (8 * -8p + -6p * -8p) + -7p(6p + -7) = 0 (-64p + 48p2) + -7p(6p + -7) = 0 Reorder the terms: -64p + 48p2 + -7p(-7 + 6p) = 0 -64p + 48p2 + (-7 * -7p + 6p * -7p) = 0 -64p + 48p2 + (49p + -42p2) = 0 Reorder the terms: -64p + 49p + 48p2 + -42p2 = 0 Combine like terms: -64p + 49p = -15p -15p + 48p2 + -42p2 = 0 Combine like terms: 48p2 + -42p2 = 6p2 -15p + 6p2 = 0 Solving -15p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-5 + 2p) = 0 Ignore the factor 3.Subproblem 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 '(-5 + 2p)' equal to zero and attempt to solve: Simplifying -5 + 2p = 0 Solving -5 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = 0 + 5 2p = 0 + 5 Combine like terms: 0 + 5 = 5 2p = 5 Divide each side by '2'. p = 2.5 Simplifying p = 2.5Solution
p = {0, 2.5}
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