2q^2+9qt-35t^2=0

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Solution for 2q^2+9qt-35t^2=0 equation: 


Simplifying
2q2 + 9qt + -35t2 = 0

Reorder the terms:
9qt + 2q2 + -35t2 = 0

Solving
9qt + 2q2 + -35t2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2q + -5t)(q + 7t) = 0


Subproblem 1
Set the factor '(2q + -5t)' equal to zero and attempt to solve:

Simplifying
2q + -5t = 0

Solving
2q + -5t = 0

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

Add '5t' to each side of the equation.
2q + -5t + 5t = 0 + 5t

Combine like terms: -5t + 5t = 0
2q + 0 = 0 + 5t
2q = 0 + 5t
Remove the zero:
2q = 5t

Divide each side by '2'.
q = 2.5t

Simplifying
q = 2.5t

Subproblem 2
Set the factor '(q + 7t)' equal to zero and attempt to solve:

Simplifying
q + 7t = 0

Solving
q + 7t = 0

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

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

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

Simplifying
q = -7t
Solution
q = {2.5t, -7t}

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