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Simplifying 0 = 15p2 + 10p Reorder the terms: 0 = 10p + 15p2 Solving 0 = 10p + 15p2 Solving for variable 'p'. Remove the zero: -10p + -15p2 = 10p + 15p2 + -10p + -15p2 Reorder the terms: -10p + -15p2 = 10p + -10p + 15p2 + -15p2 Combine like terms: 10p + -10p = 0 -10p + -15p2 = 0 + 15p2 + -15p2 -10p + -15p2 = 15p2 + -15p2 Combine like terms: 15p2 + -15p2 = 0 -10p + -15p2 = 0 Factor out the Greatest Common Factor (GCF), '-5p'. -5p(2 + 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 '(2 + 3p)' equal to zero and attempt to solve: Simplifying 2 + 3p = 0 Solving 2 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = 0 + -2 3p = 0 + -2 Combine like terms: 0 + -2 = -2 3p = -2 Divide each side by '3'. p = -0.6666666667 Simplifying p = -0.6666666667Solution
p = {0, -0.6666666667}
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