-4q^2+3q-2=0

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Solution for -4q^2+3q-2=0 equation:


Simplifying
-4q2 + 3q + -2 = 0

Reorder the terms:
-2 + 3q + -4q2 = 0

Solving
-2 + 3q + -4q2 = 0

Solving for variable 'q'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -0.75q + q2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.75q + -0.5 + q2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.75q + q2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.75q + q2 = 0 + -0.5
-0.75q + q2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.75q + q2 = -0.5

The q term is -0.75q.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75q + 0.140625 + q2 = -0.5 + 0.140625

Reorder the terms:
0.140625 + -0.75q + q2 = -0.5 + 0.140625

Combine like terms: -0.5 + 0.140625 = -0.359375
0.140625 + -0.75q + q2 = -0.359375

Factor a perfect square on the left side:
(q + -0.375)(q + -0.375) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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