16P^4-40P^3+25P^2=0

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Solution for 16P^4-40P^3+25P^2=0 equation:


Simplifying
16P4 + -40P3 + 25P2 = 0

Reorder the terms:
25P2 + -40P3 + 16P4 = 0

Solving
25P2 + -40P3 + 16P4 = 0

Solving for variable 'P'.

Factor out the Greatest Common Factor (GCF), 'P2'.
P2(25 + -40P + 16P2) = 0

Factor a trinomial.
P2((5 + -4P)(5 + -4P)) = 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 '(5 + -4P)' equal to zero and attempt to solve: Simplifying 5 + -4P = 0 Solving 5 + -4P = 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 + -4P = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4P = 0 + -5 -4P = 0 + -5 Combine like terms: 0 + -5 = -5 -4P = -5 Divide each side by '-4'. P = 1.25 Simplifying P = 1.25

Subproblem 3

Set the factor '(5 + -4P)' equal to zero and attempt to solve: Simplifying 5 + -4P = 0 Solving 5 + -4P = 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 + -4P = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4P = 0 + -5 -4P = 0 + -5 Combine like terms: 0 + -5 = -5 -4P = -5 Divide each side by '-4'. P = 1.25 Simplifying P = 1.25

Solution

P = {0, 1.25, 1.25}

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