p^3=7p^2

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Solution for p^3=7p^2 equation:


Simplifying
p3 = 7p2

Solving
p3 = 7p2

Solving for variable 'p'.

Reorder the terms:
-7p2 + p3 = 7p2 + -7p2

Combine like terms: 7p2 + -7p2 = 0
-7p2 + p3 = 0

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-7 + p) = 0

Subproblem 1

Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}

Subproblem 2

Set the factor '(-7 + p)' equal to zero and attempt to solve: Simplifying -7 + p = 0 Solving -7 + p = 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 + p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + p = 0 + 7 p = 0 + 7 Combine like terms: 0 + 7 = 7 p = 7 Simplifying p = 7

Solution

p = {0, 7}

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