7b^2-12b=-10

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Solution for 7b^2-12b=-10 equation:


Simplifying
7b2 + -12b = -10

Reorder the terms:
-12b + 7b2 = -10

Solving
-12b + 7b2 = -10

Solving for variable 'b'.

Reorder the terms:
10 + -12b + 7b2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -12b + 7b2 = 0

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

Divide each side by '7'.
1.428571429 + -1.714285714b + b2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.714285714b + -1.428571429 + b2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -1.714285714b + b2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -1.714285714b + b2 = 0 + -1.428571429
-1.714285714b + b2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-1.714285714b + b2 = -1.428571429

The b term is -1.714285714b.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714b + 0.7346938773 + b2 = -1.428571429 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714b + b2 = -1.428571429 + 0.7346938773

Combine like terms: -1.428571429 + 0.7346938773 = -0.6938775517
0.7346938773 + -1.714285714b + b2 = -0.6938775517

Factor a perfect square on the left side:
(b + -0.857142857)(b + -0.857142857) = -0.6938775517

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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