6x^2-5qx+q^2=0

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Solution for 6x^2-5qx+q^2=0 equation: 


Simplifying
6x2 + -5qx + q2 = 0

Reorder the terms:
-5qx + q2 + 6x2 = 0

Solving
-5qx + q2 + 6x2 = 0

Solving for variable 'q'.

Factor a trinomial.
(q + -3x)(q + -2x) = 0


Subproblem 1
Set the factor '(q + -3x)' equal to zero and attempt to solve:

Simplifying
q + -3x = 0

Solving
q + -3x = 0

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

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

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

Simplifying
q = 3x

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

Simplifying
q + -2x = 0

Solving
q + -2x = 0

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

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

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

Simplifying
q = 2x
Solution
q = {3x, 2x}

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