.25(2b-12)+b^2=.5b+22

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Solution for .25(2b-12)+b^2=.5b+22 equation: 


Simplifying
0.25(2b + -12) + b2 = 0.5b + 22

Reorder the terms:
0.25(-12 + 2b) + b2 = 0.5b + 22
(-12 * 0.25 + 2b * 0.25) + b2 = 0.5b + 22
(-3 + 0.5b) + b2 = 0.5b + 22

Reorder the terms:
-3 + 0.5b + b2 = 22 + 0.5b

Add '-0.5b' to each side of the equation.
-3 + 0.5b + -0.5b + b2 = 22 + 0.5b + -0.5b

Combine like terms: 0.5b + -0.5b = 0.0
-3 + 0.0 + b2 = 22 + 0.5b + -0.5b
-3 + b2 = 22 + 0.5b + -0.5b

Combine like terms: 0.5b + -0.5b = 0.0
-3 + b2 = 22 + 0.0
-3 + b2 = 22

Solving
-3 + b2 = 22

Solving for variable 'b'.

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

Add '3' to each side of the equation.
-3 + 3 + b2 = 22 + 3

Combine like terms: -3 + 3 = 0
0 + b2 = 22 + 3
b2 = 22 + 3

Combine like terms: 22 + 3 = 25
b2 = 25

Simplifying
b2 = 25

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

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