9-b^2+b=b-16

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Solution for 9-b^2+b=b-16 equation: 


Simplifying
9 + -1b2 + b = b + -16

Reorder the terms:
9 + b + -1b2 = b + -16

Reorder the terms:
9 + b + -1b2 = -16 + b

Add '-1b' to each side of the equation.
9 + b + -1b + -1b2 = -16 + b + -1b

Combine like terms: b + -1b = 0
9 + 0 + -1b2 = -16 + b + -1b
9 + -1b2 = -16 + b + -1b

Combine like terms: b + -1b = 0
9 + -1b2 = -16 + 0
9 + -1b2 = -16

Solving
9 + -1b2 = -16

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1b2 = -16 + -9

Combine like terms: 9 + -9 = 0
0 + -1b2 = -16 + -9
-1b2 = -16 + -9

Combine like terms: -16 + -9 = -25
-1b2 = -25

Divide each side by '-1'.
b2 = 25

Simplifying
b2 = 25

Take the square root of each side:
b = {-5, 5}

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