4b^2=b-3

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Solution for 4b^2=b-3 equation:


Simplifying
4b2 = b + -3

Reorder the terms:
4b2 = -3 + b

Solving
4b2 = -3 + b

Solving for variable 'b'.

Reorder the terms:
3 + -1b + 4b2 = -3 + b + 3 + -1b

Reorder the terms:
3 + -1b + 4b2 = -3 + 3 + b + -1b

Combine like terms: -3 + 3 = 0
3 + -1b + 4b2 = 0 + b + -1b
3 + -1b + 4b2 = b + -1b

Combine like terms: b + -1b = 0
3 + -1b + 4b2 = 0

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

Divide each side by '4'.
0.75 + -0.25b + b2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25b + -0.75 + b2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25b + b2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25b + b2 = 0 + -0.75
-0.25b + b2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25b + b2 = -0.75

The b term is -0.25b.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25b + 0.015625 + b2 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25b + b2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25b + b2 = -0.734375

Factor a perfect square on the left side:
(b + -0.125)(b + -0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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