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Simplifying 2pr2(2pr + 5p2r + -15p) = 0 Reorder the terms: 2pr2(-15p + 2pr + 5p2r) = 0 (-15p * 2pr2 + 2pr * 2pr2 + 5p2r * 2pr2) = 0 (-30p2r2 + 4p2r3 + 10p3r3) = 0 Solving -30p2r2 + 4p2r3 + 10p3r3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p2r2'. 2p2r2(-15 + 2r + 5pr) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p2r2' equal to zero and attempt to solve: Simplifying p2r2 = 0 Solving p2r2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2r2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-15 + 2r + 5pr)' equal to zero and attempt to solve: Simplifying -15 + 2r + 5pr = 0 Reorder the terms: -15 + 5pr + 2r = 0 Solving -15 + 5pr + 2r = 0 Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5pr + 15 + 2r = 0 + 15 Reorder the terms: -15 + 15 + 5pr + 2r = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5pr + 2r = 0 + 15 5pr + 2r = 0 + 15 Combine like terms: 0 + 15 = 15 5pr + 2r = 15 Add '-2r' to each side of the equation. 5pr + 2r + -2r = 15 + -2r Combine like terms: 2r + -2r = 0 5pr + 0 = 15 + -2r 5pr = 15 + -2r Divide each side by '5r'. p = 3r-1 + -0.4 Simplifying p = 3r-1 + -0.4 Reorder the terms: p = -0.4 + 3r-1Solution
p = {-0.4 + 3r-1}
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