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Simplifying
2b(b + 1) = 4 + 2b
Reorder the terms:
2b(1 + b) = 4 + 2b
(1 * 2b + b * 2b) = 4 + 2b
(2b + 2b2) = 4 + 2b
Add '-2b' to each side of the equation.
2b + -2b + 2b2 = 4 + 2b + -2b
Combine like terms: 2b + -2b = 0
0 + 2b2 = 4 + 2b + -2b
2b2 = 4 + 2b + -2b
Combine like terms: 2b + -2b = 0
2b2 = 4 + 0
2b2 = 4
Solving
2b2 = 4
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Divide each side by '2'.
b2 = 2
Simplifying
b2 = 2
Take the square root of each side:
b = {-1.414213562, 1.414213562}
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