.5*B-3+B^2=.5*B+22

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Solution for .5*B-3+B^2=.5*B+22 equation: 


Simplifying
0.5B + -3 + B2 = 0.5B + 22

Reorder the terms:
-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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