b^2-18b+85=0

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Solution for b^2-18b+85=0 equation:


Simplifying
b2 + -18b + 85 = 0

Reorder the terms:
85 + -18b + b2 = 0

Solving
85 + -18b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + -18b + -85 + b2 = 0 + -85

Reorder the terms:
85 + -85 + -18b + b2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -18b + b2 = 0 + -85
-18b + b2 = 0 + -85

Combine like terms: 0 + -85 = -85
-18b + b2 = -85

The b term is -18b.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18b + 81 + b2 = -85 + 81

Reorder the terms:
81 + -18b + b2 = -85 + 81

Combine like terms: -85 + 81 = -4
81 + -18b + b2 = -4

Factor a perfect square on the left side:
(b + -9)(b + -9) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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