20p^2=24p

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Solution for 20p^2=24p equation:


Simplifying
20p2 = 24p

Solving
20p2 = 24p

Solving for variable 'p'.

Reorder the terms:
-24p + 20p2 = 24p + -24p

Combine like terms: 24p + -24p = 0
-24p + 20p2 = 0

Factor out the Greatest Common Factor (GCF), '4p'.
4p(-6 + 5p) = 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 '(-6 + 5p)' equal to zero and attempt to solve: Simplifying -6 + 5p = 0 Solving -6 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = 0 + 6 5p = 0 + 6 Combine like terms: 0 + 6 = 6 5p = 6 Divide each side by '5'. p = 1.2 Simplifying p = 1.2

Solution

p = {0, 1.2}

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