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Simplifying (p + 4p)(3p + -5) = 0 Combine like terms: p + 4p = 5p (5p)(3p + -5) = 0 Remove parenthesis around (5p) 5p(3p + -5) = 0 Reorder the terms: 5p(-5 + 3p) = 0 (-5 * 5p + 3p * 5p) = 0 (-25p + 15p2) = 0 Solving -25p + 15p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-5 + 3p) = 0 Ignore the factor 5.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 + 3p)' equal to zero and attempt to solve: Simplifying -5 + 3p = 0 Solving -5 + 3p = 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 + 3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3p = 0 + 5 3p = 0 + 5 Combine like terms: 0 + 5 = 5 3p = 5 Divide each side by '3'. p = 1.666666667 Simplifying p = 1.666666667Solution
p = {0, 1.666666667}
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