0=p^2-5p

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Solution for 0=p^2-5p equation:


Simplifying
0 = p2 + -5p

Reorder the terms:
0 = -5p + p2

Solving
0 = -5p + p2

Solving for variable 'p'.
Remove the zero:
5p + -1p2 = -5p + p2 + 5p + -1p2

Reorder the terms:
5p + -1p2 = -5p + 5p + p2 + -1p2

Combine like terms: -5p + 5p = 0
5p + -1p2 = 0 + p2 + -1p2
5p + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
5p + -1p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(5 + -1p) = 0

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 = 0

Subproblem 2

Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5

Solution

p = {0, 5}

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