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Simplifying 63p + -16p2 = 17p + 58p2 Solving 63p + -16p2 = 17p + 58p2 Solving for variable 'p'. Reorder the terms: 63p + -17p + -16p2 + -58p2 = 17p + 58p2 + -17p + -58p2 Combine like terms: 63p + -17p = 46p 46p + -16p2 + -58p2 = 17p + 58p2 + -17p + -58p2 Combine like terms: -16p2 + -58p2 = -74p2 46p + -74p2 = 17p + 58p2 + -17p + -58p2 Reorder the terms: 46p + -74p2 = 17p + -17p + 58p2 + -58p2 Combine like terms: 17p + -17p = 0 46p + -74p2 = 0 + 58p2 + -58p2 46p + -74p2 = 58p2 + -58p2 Combine like terms: 58p2 + -58p2 = 0 46p + -74p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(23 + -37p) = 0 Ignore the factor 2.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 '(23 + -37p)' equal to zero and attempt to solve: Simplifying 23 + -37p = 0 Solving 23 + -37p = 0 Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -37p = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -37p = 0 + -23 -37p = 0 + -23 Combine like terms: 0 + -23 = -23 -37p = -23 Divide each side by '-37'. p = 0.6216216216 Simplifying p = 0.6216216216Solution
p = {0, 0.6216216216}
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