(b-7)(b+5)=(b+8)(b-9)

Solution for (b-7)(b+5)=(b+8)(b-9) equation:

Simplifying
(b + -7)(b + 5) = (b + 8)(b + -9)

Reorder the terms:
(-7 + b)(b + 5) = (b + 8)(b + -9)

Reorder the terms:
(-7 + b)(5 + b) = (b + 8)(b + -9)

Multiply (-7 + b) * (5 + b)
(-7(5 + b) + b(5 + b)) = (b + 8)(b + -9)
((5 * -7 + b * -7) + b(5 + b)) = (b + 8)(b + -9)
((-35 + -7b) + b(5 + b)) = (b + 8)(b + -9)
(-35 + -7b + (5 * b + b * b)) = (b + 8)(b + -9)
(-35 + -7b + (5b + b2)) = (b + 8)(b + -9)

Combine like terms: -7b + 5b = -2b
(-35 + -2b + b2) = (b + 8)(b + -9)

Reorder the terms:
-35 + -2b + b2 = (8 + b)(b + -9)

Reorder the terms:
-35 + -2b + b2 = (8 + b)(-9 + b)

Multiply (8 + b) * (-9 + b)
-35 + -2b + b2 = (8(-9 + b) + b(-9 + b))
-35 + -2b + b2 = ((-9 * 8 + b * 8) + b(-9 + b))
-35 + -2b + b2 = ((-72 + 8b) + b(-9 + b))
-35 + -2b + b2 = (-72 + 8b + (-9 * b + b * b))
-35 + -2b + b2 = (-72 + 8b + (-9b + b2))

Combine like terms: 8b + -9b = -1b
-35 + -2b + b2 = (-72 + -1b + b2)

Add '-1b2' to each side of the equation.
-35 + -2b + b2 + -1b2 = -72 + -1b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-35 + -2b + 0 = -72 + -1b + b2 + -1b2
-35 + -2b = -72 + -1b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-35 + -2b = -72 + -1b + 0
-35 + -2b = -72 + -1b

Solving
-35 + -2b = -72 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
-35 + -2b + b = -72 + -1b + b

Combine like terms: -2b + b = -1b
-35 + -1b = -72 + -1b + b

Combine like terms: -1b + b = 0
-35 + -1b = -72 + 0
-35 + -1b = -72

Add '35' to each side of the equation.
-35 + 35 + -1b = -72 + 35

Combine like terms: -35 + 35 = 0
0 + -1b = -72 + 35
-1b = -72 + 35

Combine like terms: -72 + 35 = -37
-1b = -37

Divide each side by '-1'.
b = 37

Simplifying
b = 37