8-b(3-b)=b-9

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Solution for 8-b(3-b)=b-9 equation:


Simplifying
8 + -1b(3 + -1b) = b + -9
8 + (3 * -1b + -1b * -1b) = b + -9
8 + (-3b + 1b2) = b + -9

Reorder the terms:
8 + -3b + 1b2 = -9 + b

Solving
8 + -3b + 1b2 = -9 + b

Solving for variable 'b'.

Reorder the terms:
8 + 9 + -3b + -1b + 1b2 = -9 + b + 9 + -1b

Combine like terms: 8 + 9 = 17
17 + -3b + -1b + 1b2 = -9 + b + 9 + -1b

Combine like terms: -3b + -1b = -4b
17 + -4b + 1b2 = -9 + b + 9 + -1b

Reorder the terms:
17 + -4b + 1b2 = -9 + 9 + b + -1b

Combine like terms: -9 + 9 = 0
17 + -4b + 1b2 = 0 + b + -1b
17 + -4b + 1b2 = b + -1b

Combine like terms: b + -1b = 0
17 + -4b + 1b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -4b + -17 + b2 = 0 + -17

Reorder the terms:
17 + -17 + -4b + b2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -4b + b2 = 0 + -17
-4b + b2 = 0 + -17

Combine like terms: 0 + -17 = -17
-4b + b2 = -17

The b term is -4b.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = -17 + 4

Reorder the terms:
4 + -4b + b2 = -17 + 4

Combine like terms: -17 + 4 = -13
4 + -4b + b2 = -13

Factor a perfect square on the left side:
(b + -2)(b + -2) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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