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Simplifying 0 = 9p2 + -25p Reorder the terms: 0 = -25p + 9p2 Solving 0 = -25p + 9p2 Solving for variable 'p'. Remove the zero: 25p + -9p2 = -25p + 9p2 + 25p + -9p2 Reorder the terms: 25p + -9p2 = -25p + 25p + 9p2 + -9p2 Combine like terms: -25p + 25p = 0 25p + -9p2 = 0 + 9p2 + -9p2 25p + -9p2 = 9p2 + -9p2 Combine like terms: 9p2 + -9p2 = 0 25p + -9p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(25 + -9p) = 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 '(25 + -9p)' equal to zero and attempt to solve: Simplifying 25 + -9p = 0 Solving 25 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9p = 0 + -25 -9p = 0 + -25 Combine like terms: 0 + -25 = -25 -9p = -25 Divide each side by '-9'. p = 2.777777778 Simplifying p = 2.777777778Solution
p = {0, 2.777777778}
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