p^2=10p

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Solution for p^2=10p equation:


Simplifying
p2 = 10p

Solving
p2 = 10p

Solving for variable 'p'.

Reorder the terms:
-10p + p2 = 10p + -10p

Combine like terms: 10p + -10p = 0
-10p + p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-10 + p) = 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 '(-10 + p)' equal to zero and attempt to solve: Simplifying -10 + p = 0 Solving -10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + p = 0 + 10 p = 0 + 10 Combine like terms: 0 + 10 = 10 p = 10 Simplifying p = 10

Solution

p = {0, 10}

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