b(b+4)-1=b(b+2)+2

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Solution for b(b+4)-1=b(b+2)+2 equation:


Simplifying
b(b + 4) + -1 = b(b + 2) + 2

Reorder the terms:
b(4 + b) + -1 = b(b + 2) + 2
(4 * b + b * b) + -1 = b(b + 2) + 2
(4b + b2) + -1 = b(b + 2) + 2

Reorder the terms:
-1 + 4b + b2 = b(b + 2) + 2

Reorder the terms:
-1 + 4b + b2 = b(2 + b) + 2
-1 + 4b + b2 = (2 * b + b * b) + 2
-1 + 4b + b2 = (2b + b2) + 2

Reorder the terms:
-1 + 4b + b2 = 2 + 2b + b2

Add '-1b2' to each side of the equation.
-1 + 4b + b2 + -1b2 = 2 + 2b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-1 + 4b + 0 = 2 + 2b + b2 + -1b2
-1 + 4b = 2 + 2b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-1 + 4b = 2 + 2b + 0
-1 + 4b = 2 + 2b

Solving
-1 + 4b = 2 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-1 + 4b + -2b = 2 + 2b + -2b

Combine like terms: 4b + -2b = 2b
-1 + 2b = 2 + 2b + -2b

Combine like terms: 2b + -2b = 0
-1 + 2b = 2 + 0
-1 + 2b = 2

Add '1' to each side of the equation.
-1 + 1 + 2b = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 2b = 2 + 1
2b = 2 + 1

Combine like terms: 2 + 1 = 3
2b = 3

Divide each side by '2'.
b = 1.5

Simplifying
b = 1.5

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