3p^2=5p

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Solution for 3p^2=5p equation:


Simplifying
3p2 = 5p

Solving
3p2 = 5p

Solving for variable 'p'.

Reorder the terms:
-5p + 3p2 = 5p + -5p

Combine like terms: 5p + -5p = 0
-5p + 3p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-5 + 3p) = 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 + 3p)' equal to zero and attempt to solve: Simplifying -5 + 3p = 0 Solving -5 + 3p = 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 + 3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3p = 0 + 5 3p = 0 + 5 Combine like terms: 0 + 5 = 5 3p = 5 Divide each side by '3'. p = 1.666666667 Simplifying p = 1.666666667

Solution

p = {0, 1.666666667}

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