(15B^2-6B)+(-3B+5)-(B^2-1)=0

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Solution for (15B^2-6B)+(-3B+5)-(B^2-1)=0 equation:


Simplifying
(15B2 + -6B) + (-3B + 5) + -1(B2 + -1) = 0

Reorder the terms:
(-6B + 15B2) + (-3B + 5) + -1(B2 + -1) = 0

Remove parenthesis around (-6B + 15B2)
-6B + 15B2 + (-3B + 5) + -1(B2 + -1) = 0

Reorder the terms:
-6B + 15B2 + (5 + -3B) + -1(B2 + -1) = 0

Remove parenthesis around (5 + -3B)
-6B + 15B2 + 5 + -3B + -1(B2 + -1) = 0

Reorder the terms:
-6B + 15B2 + 5 + -3B + -1(-1 + B2) = 0
-6B + 15B2 + 5 + -3B + (-1 * -1 + B2 * -1) = 0
-6B + 15B2 + 5 + -3B + (1 + -1B2) = 0

Reorder the terms:
5 + 1 + -6B + -3B + 15B2 + -1B2 = 0

Combine like terms: 5 + 1 = 6
6 + -6B + -3B + 15B2 + -1B2 = 0

Combine like terms: -6B + -3B = -9B
6 + -9B + 15B2 + -1B2 = 0

Combine like terms: 15B2 + -1B2 = 14B2
6 + -9B + 14B2 = 0

Solving
6 + -9B + 14B2 = 0

Solving for variable 'B'.

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

Divide each side by '14'.
0.4285714286 + -0.6428571429B + B2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.6428571429B + -0.4285714286 + B2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -0.6428571429B + B2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -0.6428571429B + B2 = 0 + -0.4285714286
-0.6428571429B + B2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-0.6428571429B + B2 = -0.4285714286

The B term is -0.6428571429B.  Take half its coefficient (-0.3214285715).
Square it (0.1033163266) and add it to both sides.

Add '0.1033163266' to each side of the equation.
-0.6428571429B + 0.1033163266 + B2 = -0.4285714286 + 0.1033163266

Reorder the terms:
0.1033163266 + -0.6428571429B + B2 = -0.4285714286 + 0.1033163266

Combine like terms: -0.4285714286 + 0.1033163266 = -0.325255102
0.1033163266 + -0.6428571429B + B2 = -0.325255102

Factor a perfect square on the left side:
(B + -0.3214285715)(B + -0.3214285715) = -0.325255102

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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