3b(b+4)(b-5)=

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Solution for 3b(b+4)(b-5)= equation:


Simplifying
3b(b + 4)(b + -5) = 0

Reorder the terms:
3b(4 + b)(b + -5) = 0

Reorder the terms:
3b(4 + b)(-5 + b) = 0

Multiply (4 + b) * (-5 + b)
3b(4(-5 + b) + b(-5 + b)) = 0
3b((-5 * 4 + b * 4) + b(-5 + b)) = 0
3b((-20 + 4b) + b(-5 + b)) = 0
3b(-20 + 4b + (-5 * b + b * b)) = 0
3b(-20 + 4b + (-5b + b2)) = 0

Combine like terms: 4b + -5b = -1b
3b(-20 + -1b + b2) = 0
(-20 * 3b + -1b * 3b + b2 * 3b) = 0
(-60b + -3b2 + 3b3) = 0

Solving
-60b + -3b2 + 3b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-20 + -1b + b2) = 0

Factor a trinomial.
3b((-4 + -1b)(5 + -1b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4

Subproblem 3

Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5

Solution

b = {0, -4, 5}

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