6s^2+5sp-6p^2=

Solution for 6s^2+5sp-6p^2= equation:

Simplifying
6s2 + 5sp + -6p2 = 0

Reorder the terms:
5ps + -6p2 + 6s2 = 0

Solving
5ps + -6p2 + 6s2 = 0

Solving for variable 'p'.

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

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

Simplifying
-3p + -2s = 0

Solving
-3p + -2s = 0

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

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

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

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

Simplifying
p = -0.6666666667s
Subproblem 2
Set the factor '(2p + -3s)' equal to zero and attempt to solve:

Simplifying
2p + -3s = 0

Solving
2p + -3s = 0

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

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

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

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

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