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Simplifying 45(p2 + -1) = 56p Reorder the terms: 45(-1 + p2) = 56p (-1 * 45 + p2 * 45) = 56p (-45 + 45p2) = 56p Solving -45 + 45p2 = 56p Solving for variable 'p'. Reorder the terms: -45 + -56p + 45p2 = 56p + -56p Combine like terms: 56p + -56p = 0 -45 + -56p + 45p2 = 0 Factor a trinomial. (-5 + -9p)(9 + -5p) = 0Subproblem 1
Set the factor '(-5 + -9p)' equal to zero and attempt to solve: Simplifying -5 + -9p = 0 Solving -5 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9p = 0 + 5 -9p = 0 + 5 Combine like terms: 0 + 5 = 5 -9p = 5 Divide each side by '-9'. p = -0.5555555556 Simplifying p = -0.5555555556Subproblem 2
Set the factor '(9 + -5p)' equal to zero and attempt to solve: Simplifying 9 + -5p = 0 Solving 9 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5p = 0 + -9 -5p = 0 + -9 Combine like terms: 0 + -9 = -9 -5p = -9 Divide each side by '-5'. p = 1.8 Simplifying p = 1.8Solution
p = {-0.5555555556, 1.8}
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