(b+2)(b-2)=(b+8)(b-3)

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Solution for (b+2)(b-2)=(b+8)(b-3) equation:


Simplifying
(b + 2)(b + -2) = (b + 8)(b + -3)

Reorder the terms:
(2 + b)(b + -2) = (b + 8)(b + -3)

Reorder the terms:
(2 + b)(-2 + b) = (b + 8)(b + -3)

Multiply (2 + b) * (-2 + b)
(2(-2 + b) + b(-2 + b)) = (b + 8)(b + -3)
((-2 * 2 + b * 2) + b(-2 + b)) = (b + 8)(b + -3)
((-4 + 2b) + b(-2 + b)) = (b + 8)(b + -3)
(-4 + 2b + (-2 * b + b * b)) = (b + 8)(b + -3)
(-4 + 2b + (-2b + b2)) = (b + 8)(b + -3)

Combine like terms: 2b + -2b = 0
(-4 + 0 + b2) = (b + 8)(b + -3)
(-4 + b2) = (b + 8)(b + -3)

Reorder the terms:
-4 + b2 = (8 + b)(b + -3)

Reorder the terms:
-4 + b2 = (8 + b)(-3 + b)

Multiply (8 + b) * (-3 + b)
-4 + b2 = (8(-3 + b) + b(-3 + b))
-4 + b2 = ((-3 * 8 + b * 8) + b(-3 + b))
-4 + b2 = ((-24 + 8b) + b(-3 + b))
-4 + b2 = (-24 + 8b + (-3 * b + b * b))
-4 + b2 = (-24 + 8b + (-3b + b2))

Combine like terms: 8b + -3b = 5b
-4 + b2 = (-24 + 5b + b2)

Add '-1b2' to each side of the equation.
-4 + b2 + -1b2 = -24 + 5b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-4 + 0 = -24 + 5b + b2 + -1b2
-4 = -24 + 5b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-4 = -24 + 5b + 0
-4 = -24 + 5b

Solving
-4 = -24 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-4 + -5b = -24 + 5b + -5b

Combine like terms: 5b + -5b = 0
-4 + -5b = -24 + 0
-4 + -5b = -24

Add '4' to each side of the equation.
-4 + 4 + -5b = -24 + 4

Combine like terms: -4 + 4 = 0
0 + -5b = -24 + 4
-5b = -24 + 4

Combine like terms: -24 + 4 = -20
-5b = -20

Divide each side by '-5'.
b = 4

Simplifying
b = 4

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