(b+3)(2b-5)=2b(b-5)+5b-3

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Solution for (b+3)(2b-5)=2b(b-5)+5b-3 equation:


Simplifying
(b + 3)(2b + -5) = 2b(b + -5) + 5b + -3

Reorder the terms:
(3 + b)(2b + -5) = 2b(b + -5) + 5b + -3

Reorder the terms:
(3 + b)(-5 + 2b) = 2b(b + -5) + 5b + -3

Multiply (3 + b) * (-5 + 2b)
(3(-5 + 2b) + b(-5 + 2b)) = 2b(b + -5) + 5b + -3
((-5 * 3 + 2b * 3) + b(-5 + 2b)) = 2b(b + -5) + 5b + -3
((-15 + 6b) + b(-5 + 2b)) = 2b(b + -5) + 5b + -3
(-15 + 6b + (-5 * b + 2b * b)) = 2b(b + -5) + 5b + -3
(-15 + 6b + (-5b + 2b2)) = 2b(b + -5) + 5b + -3

Combine like terms: 6b + -5b = 1b
(-15 + 1b + 2b2) = 2b(b + -5) + 5b + -3

Reorder the terms:
-15 + 1b + 2b2 = 2b(-5 + b) + 5b + -3
-15 + 1b + 2b2 = (-5 * 2b + b * 2b) + 5b + -3
-15 + 1b + 2b2 = (-10b + 2b2) + 5b + -3

Reorder the terms:
-15 + 1b + 2b2 = -3 + -10b + 5b + 2b2

Combine like terms: -10b + 5b = -5b
-15 + 1b + 2b2 = -3 + -5b + 2b2

Add '-2b2' to each side of the equation.
-15 + 1b + 2b2 + -2b2 = -3 + -5b + 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
-15 + 1b + 0 = -3 + -5b + 2b2 + -2b2
-15 + 1b = -3 + -5b + 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
-15 + 1b = -3 + -5b + 0
-15 + 1b = -3 + -5b

Solving
-15 + 1b = -3 + -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.
-15 + 1b + 5b = -3 + -5b + 5b

Combine like terms: 1b + 5b = 6b
-15 + 6b = -3 + -5b + 5b

Combine like terms: -5b + 5b = 0
-15 + 6b = -3 + 0
-15 + 6b = -3

Add '15' to each side of the equation.
-15 + 15 + 6b = -3 + 15

Combine like terms: -15 + 15 = 0
0 + 6b = -3 + 15
6b = -3 + 15

Combine like terms: -3 + 15 = 12
6b = 12

Divide each side by '6'.
b = 2

Simplifying
b = 2

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