b-(1-2b)(b-3)=-4

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Solution for b-(1-2b)(b-3)=-4 equation:


Simplifying
b + -1(1 + -2b)(b + -3) = -4

Reorder the terms:
b + -1(1 + -2b)(-3 + b) = -4

Multiply (1 + -2b) * (-3 + b)
b + -1(1(-3 + b) + -2b * (-3 + b)) = -4
b + -1((-3 * 1 + b * 1) + -2b * (-3 + b)) = -4
b + -1((-3 + 1b) + -2b * (-3 + b)) = -4
b + -1(-3 + 1b + (-3 * -2b + b * -2b)) = -4
b + -1(-3 + 1b + (6b + -2b2)) = -4

Combine like terms: 1b + 6b = 7b
b + -1(-3 + 7b + -2b2) = -4
b + (-3 * -1 + 7b * -1 + -2b2 * -1) = -4
b + (3 + -7b + 2b2) = -4

Reorder the terms:
3 + b + -7b + 2b2 = -4

Combine like terms: b + -7b = -6b
3 + -6b + 2b2 = -4

Solving
3 + -6b + 2b2 = -4

Solving for variable 'b'.

Reorder the terms:
3 + 4 + -6b + 2b2 = -4 + 4

Combine like terms: 3 + 4 = 7
7 + -6b + 2b2 = -4 + 4

Combine like terms: -4 + 4 = 0
7 + -6b + 2b2 = 0

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

Divide each side by '2'.
3.5 + -3b + b2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -3b + -3.5 + b2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -3b + b2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -3b + b2 = 0 + -3.5
-3b + b2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-3b + b2 = -3.5

The b term is -3b.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3b + 2.25 + b2 = -3.5 + 2.25

Reorder the terms:
2.25 + -3b + b2 = -3.5 + 2.25

Combine like terms: -3.5 + 2.25 = -1.25
2.25 + -3b + b2 = -1.25

Factor a perfect square on the left side:
(b + -1.5)(b + -1.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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