-63=-p^2+2p

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Solution for -63=-p^2+2p equation:


Simplifying
-63 = -1p2 + 2p

Reorder the terms:
-63 = 2p + -1p2

Solving
-63 = 2p + -1p2

Solving for variable 'p'.

Reorder the terms:
-63 + -2p + p2 = 2p + -2p + -1p2 + p2

Combine like terms: 2p + -2p = 0
-63 + -2p + p2 = 0 + -1p2 + p2
-63 + -2p + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
-63 + -2p + p2 = 0

Factor a trinomial.
(-7 + -1p)(9 + -1p) = 0

Subproblem 1

Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7

Subproblem 2

Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9

Solution

p = {-7, 9}

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