6b^3-18b^2-420b=

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Solution for 6b^3-18b^2-420b= equation:


Simplifying
6b3 + -18b2 + -420b = 0

Reorder the terms:
-420b + -18b2 + 6b3 = 0

Solving
-420b + -18b2 + 6b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-70 + -3b + b2) = 0

Factor a trinomial.
6b((-7 + -1b)(10 + -1b)) = 0

Ignore the factor 6.

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 '(-7 + -1b)' equal to zero and attempt to solve: Simplifying -7 + -1b = 0 Solving -7 + -1b = 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 + -1b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1b = 0 + 7 -1b = 0 + 7 Combine like terms: 0 + 7 = 7 -1b = 7 Divide each side by '-1'. b = -7 Simplifying b = -7

Subproblem 3

Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10

Solution

b = {0, -7, 10}

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