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Simplifying 0 = 7p2 + -33p Reorder the terms: 0 = -33p + 7p2 Solving 0 = -33p + 7p2 Solving for variable 'p'. Remove the zero: 33p + -7p2 = -33p + 7p2 + 33p + -7p2 Reorder the terms: 33p + -7p2 = -33p + 33p + 7p2 + -7p2 Combine like terms: -33p + 33p = 0 33p + -7p2 = 0 + 7p2 + -7p2 33p + -7p2 = 7p2 + -7p2 Combine like terms: 7p2 + -7p2 = 0 33p + -7p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(33 + -7p) = 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 '(33 + -7p)' equal to zero and attempt to solve: Simplifying 33 + -7p = 0 Solving 33 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -7p = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -7p = 0 + -33 -7p = 0 + -33 Combine like terms: 0 + -33 = -33 -7p = -33 Divide each side by '-7'. p = 4.714285714 Simplifying p = 4.714285714Solution
p = {0, 4.714285714}
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