10b^2=27b-28

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Solution for 10b^2=27b-28 equation:


Simplifying
10b2 = 27b + -28

Reorder the terms:
10b2 = -28 + 27b

Solving
10b2 = -28 + 27b

Solving for variable 'b'.

Reorder the terms:
28 + -27b + 10b2 = -28 + 27b + 28 + -27b

Reorder the terms:
28 + -27b + 10b2 = -28 + 28 + 27b + -27b

Combine like terms: -28 + 28 = 0
28 + -27b + 10b2 = 0 + 27b + -27b
28 + -27b + 10b2 = 27b + -27b

Combine like terms: 27b + -27b = 0
28 + -27b + 10b2 = 0

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

Divide each side by '10'.
2.8 + -2.7b + b2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + -2.7b + -2.8 + b2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + -2.7b + b2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -2.7b + b2 = 0 + -2.8
-2.7b + b2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
-2.7b + b2 = -2.8

The b term is -2.7b.  Take half its coefficient (-1.35).
Square it (1.8225) and add it to both sides.

Add '1.8225' to each side of the equation.
-2.7b + 1.8225 + b2 = -2.8 + 1.8225

Reorder the terms:
1.8225 + -2.7b + b2 = -2.8 + 1.8225

Combine like terms: -2.8 + 1.8225 = -0.9775
1.8225 + -2.7b + b2 = -0.9775

Factor a perfect square on the left side:
(b + -1.35)(b + -1.35) = -0.9775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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