7b^2-10b+13=9

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Solution for 7b^2-10b+13=9 equation:


Simplifying
7b2 + -10b + 13 = 9

Reorder the terms:
13 + -10b + 7b2 = 9

Solving
13 + -10b + 7b2 = 9

Solving for variable 'b'.

Reorder the terms:
13 + -9 + -10b + 7b2 = 9 + -9

Combine like terms: 13 + -9 = 4
4 + -10b + 7b2 = 9 + -9

Combine like terms: 9 + -9 = 0
4 + -10b + 7b2 = 0

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

Divide each side by '7'.
0.5714285714 + -1.428571429b + b2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -1.428571429b + -0.5714285714 + b2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -1.428571429b + b2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -1.428571429b + b2 = 0 + -0.5714285714
-1.428571429b + b2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-1.428571429b + b2 = -0.5714285714

The b term is -1.428571429b.  Take half its coefficient (-0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
-1.428571429b + 0.5102040819 + b2 = -0.5714285714 + 0.5102040819

Reorder the terms:
0.5102040819 + -1.428571429b + b2 = -0.5714285714 + 0.5102040819

Combine like terms: -0.5714285714 + 0.5102040819 = -0.0612244895
0.5102040819 + -1.428571429b + b2 = -0.0612244895

Factor a perfect square on the left side:
(b + -0.7142857145)(b + -0.7142857145) = -0.0612244895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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