12q^2-13qt-35t^2=

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Solution for 12q^2-13qt-35t^2= equation: 


Simplifying
12q2 + -13qt + -35t2 = 0

Reorder the terms:
-13qt + 12q2 + -35t2 = 0

Solving
-13qt + 12q2 + -35t2 = 0

Solving for variable 'q'.

Factor a trinomial.
(3q + -7t)(4q + 5t) = 0


Subproblem 1
Set the factor '(3q + -7t)' equal to zero and attempt to solve:

Simplifying
3q + -7t = 0

Solving
3q + -7t = 0

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

Add '7t' to each side of the equation.
3q + -7t + 7t = 0 + 7t

Combine like terms: -7t + 7t = 0
3q + 0 = 0 + 7t
3q = 0 + 7t
Remove the zero:
3q = 7t

Divide each side by '3'.
q = 2.333333333t

Simplifying
q = 2.333333333t

Subproblem 2
Set the factor '(4q + 5t)' equal to zero and attempt to solve:

Simplifying
4q + 5t = 0

Solving
4q + 5t = 0

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

Add '-5t' to each side of the equation.
4q + 5t + -5t = 0 + -5t

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

Divide each side by '4'.
q = -1.25t

Simplifying
q = -1.25t
Solution
q = {2.333333333t, -1.25t}

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