5b^2-6b+2=0

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Solution for 5b^2-6b+2=0 equation:


Simplifying
5b2 + -6b + 2 = 0

Reorder the terms:
2 + -6b + 5b2 = 0

Solving
2 + -6b + 5b2 = 0

Solving for variable 'b'.

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

Divide each side by '5'.
0.4 + -1.2b + b2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.2b + -0.4 + b2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.2b + b2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.2b + b2 = 0 + -0.4
-1.2b + b2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.2b + b2 = -0.4

The b term is -1.2b.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2b + 0.36 + b2 = -0.4 + 0.36

Reorder the terms:
0.36 + -1.2b + b2 = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.36 + -1.2b + b2 = -0.04

Factor a perfect square on the left side:
(b + -0.6)(b + -0.6) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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