12p^2-23pq+10q^2=

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Solution for 12p^2-23pq+10q^2= equation: 


Simplifying
12p2 + -23pq + 10q2 = 0

Reorder the terms:
-23pq + 12p2 + 10q2 = 0

Solving
-23pq + 12p2 + 10q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4p + -5q)(3p + -2q) = 0


Subproblem 1
Set the factor '(4p + -5q)' equal to zero and attempt to solve:

Simplifying
4p + -5q = 0

Solving
4p + -5q = 0

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

Add '5q' to each side of the equation.
4p + -5q + 5q = 0 + 5q

Combine like terms: -5q + 5q = 0
4p + 0 = 0 + 5q
4p = 0 + 5q
Remove the zero:
4p = 5q

Divide each side by '4'.
p = 1.25q

Simplifying
p = 1.25q

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

Simplifying
3p + -2q = 0

Solving
3p + -2q = 0

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

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

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

Divide each side by '3'.
p = 0.6666666667q

Simplifying
p = 0.6666666667q
Solution
p = {1.25q, 0.6666666667q}

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