280=(b+5)(b)(20)

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Solution for 280=(b+5)(b)(20) equation: 


Simplifying
280 = (b + 5)(b)(20)

Reorder the terms:
280 = (5 + b)(b)(20)

Reorder the terms for easier multiplication:
280 = 20b(5 + b)
280 = (5 * 20b + b * 20b)
280 = (100b + 20b2)

Solving
280 = 100b + 20b2

Solving for variable 'b'.

Reorder the terms:
280 + -100b + -20b2 = 100b + -100b + 20b2 + -20b2

Combine like terms: 100b + -100b = 0
280 + -100b + -20b2 = 0 + 20b2 + -20b2
280 + -100b + -20b2 = 20b2 + -20b2

Combine like terms: 20b2 + -20b2 = 0
280 + -100b + -20b2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(14 + -5b + -1b2) = 0

Factor a trinomial.
20((2 + -1b)(7 + b)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

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

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

Divide each side by '-1'.
b = 2

Simplifying
b = 2

Subproblem 2
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Simplifying
b = -7
Solution
b = {2, -7}

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