6v^2+5vp-6p^2=

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Solution for 6v^2+5vp-6p^2= equation: 


Simplifying
6v2 + 5vp + -6p2 = 0

Reorder the terms:
5pv + -6p2 + 6v2 = 0

Solving
5pv + -6p2 + 6v2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3p + -2v)(2p + -3v) = 0


Subproblem 1
Set the factor '(-3p + -2v)' equal to zero and attempt to solve:

Simplifying
-3p + -2v = 0

Solving
-3p + -2v = 0

Move all terms containing p to the left, all other terms to the right.

Add '2v' to each side of the equation.
-3p + -2v + 2v = 0 + 2v

Combine like terms: -2v + 2v = 0
-3p + 0 = 0 + 2v
-3p = 0 + 2v
Remove the zero:
-3p = 2v

Divide each side by '-3'.
p = -0.6666666667v

Simplifying
p = -0.6666666667v

Subproblem 2
Set the factor '(2p + -3v)' equal to zero and attempt to solve:

Simplifying
2p + -3v = 0

Solving
2p + -3v = 0

Move all terms containing p to the left, all other terms to the right.

Add '3v' to each side of the equation.
2p + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
2p + 0 = 0 + 3v
2p = 0 + 3v
Remove the zero:
2p = 3v

Divide each side by '2'.
p = 1.5v

Simplifying
p = 1.5v
Solution
p = {-0.6666666667v, 1.5v}

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