10b^2-(3b^2+6b-8)=

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Solution for 10b^2-(3b^2+6b-8)= equation:


Simplifying
10b2 + -1(3b2 + 6b + -8) = 0

Reorder the terms:
10b2 + -1(-8 + 6b + 3b2) = 0
10b2 + (-8 * -1 + 6b * -1 + 3b2 * -1) = 0
10b2 + (8 + -6b + -3b2) = 0

Reorder the terms:
8 + -6b + 10b2 + -3b2 = 0

Combine like terms: 10b2 + -3b2 = 7b2
8 + -6b + 7b2 = 0

Solving
8 + -6b + 7b2 = 0

Solving for variable 'b'.

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

Divide each side by '7'.
1.142857143 + -0.8571428571b + b2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + -0.8571428571b + -1.142857143 + b2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + -0.8571428571b + b2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + -0.8571428571b + b2 = 0 + -1.142857143
-0.8571428571b + b2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
-0.8571428571b + b2 = -1.142857143

The b term is -0.8571428571b.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571b + 0.1836734694 + b2 = -1.142857143 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571b + b2 = -1.142857143 + 0.1836734694

Combine like terms: -1.142857143 + 0.1836734694 = -0.9591836736
0.1836734694 + -0.8571428571b + b2 = -0.9591836736

Factor a perfect square on the left side:
(b + -0.4285714286)(b + -0.4285714286) = -0.9591836736

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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