6q^2+4q=5q-2

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Solution for 6q^2+4q=5q-2 equation: 


Simplifying
6q2 + 4q = 5q + -2

Reorder the terms:
4q + 6q2 = 5q + -2

Reorder the terms:
4q + 6q2 = -2 + 5q

Solving
4q + 6q2 = -2 + 5q

Solving for variable 'q'.

Reorder the terms:
2 + 4q + -5q + 6q2 = -2 + 5q + 2 + -5q

Combine like terms: 4q + -5q = -1q
2 + -1q + 6q2 = -2 + 5q + 2 + -5q

Reorder the terms:
2 + -1q + 6q2 = -2 + 2 + 5q + -5q

Combine like terms: -2 + 2 = 0
2 + -1q + 6q2 = 0 + 5q + -5q
2 + -1q + 6q2 = 5q + -5q

Combine like terms: 5q + -5q = 0
2 + -1q + 6q2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.3333333333 + -0.1666666667q + q2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.1666666667q + -0.3333333333 + q2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.1666666667q + q2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.1666666667q + q2 = 0 + -0.3333333333
-0.1666666667q + q2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.1666666667q + q2 = -0.3333333333

The q term is -0.1666666667q.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667q + 0.006944444447 + q2 = -0.3333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667q + q2 = -0.3333333333 + 0.006944444447

Combine like terms: -0.3333333333 + 0.006944444447 = -0.326388888853
0.006944444447 + -0.1666666667q + q2 = -0.326388888853

Factor a perfect square on the left side:
(q + -0.08333333335)(q + -0.08333333335) = -0.326388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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