6p^6-11p^3r+4r^2=0

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Solution for 6p^6-11p^3r+4r^2=0 equation:


Simplifying
6p6 + -11p3r + 4r2 = 0

Reorder the terms:
-11p3r + 6p6 + 4r2 = 0

Solving
-11p3r + 6p6 + 4r2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3p3 + -4r)(2p3 + -1r) = 0

Subproblem 1

Set the factor '(3p3 + -4r)' equal to zero and attempt to solve: Simplifying 3p3 + -4r = 0 Solving 3p3 + -4r = 0 Move all terms containing p to the left, all other terms to the right. Add '4r' to each side of the equation. 3p3 + -4r + 4r = 0 + 4r Combine like terms: -4r + 4r = 0 3p3 + 0 = 0 + 4r 3p3 = 0 + 4r Remove the zero: 3p3 = 4r Divide each side by '3'. p3 = 1.333333333r Simplifying p3 = 1.333333333r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2p3 + -1r)' equal to zero and attempt to solve: Simplifying 2p3 + -1r = 0 Solving 2p3 + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. 2p3 + -1r + r = 0 + r Combine like terms: -1r + r = 0 2p3 + 0 = 0 + r 2p3 = 0 + r Remove the zero: 2p3 = r Divide each side by '2'. p3 = 0.5r Simplifying p3 = 0.5r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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