4p^2=16p

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Solution for 4p^2=16p equation:


Simplifying
4p2 = 16p

Solving
4p2 = 16p

Solving for variable 'p'.

Reorder the terms:
-16p + 4p2 = 16p + -16p

Combine like terms: 16p + -16p = 0
-16p + 4p2 = 0

Factor out the Greatest Common Factor (GCF), '4p'.
4p(-4 + p) = 0

Ignore the factor 4.

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 '(-4 + p)' equal to zero and attempt to solve: Simplifying -4 + p = 0 Solving -4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + p = 0 + 4 p = 0 + 4 Combine like terms: 0 + 4 = 4 p = 4 Simplifying p = 4

Solution

p = {0, 4}

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