4b^3-12b^2-832b=0

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Solution for 4b^3-12b^2-832b=0 equation:


Simplifying
4b3 + -12b2 + -832b = 0

Reorder the terms:
-832b + -12b2 + 4b3 = 0

Solving
-832b + -12b2 + 4b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-208 + -3b + b2) = 0

Factor a trinomial.
4b((-13 + -1b)(16 + -1b)) = 0

Ignore the factor 4.

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 '(-13 + -1b)' equal to zero and attempt to solve: Simplifying -13 + -1b = 0 Solving -13 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1b = 0 + 13 -1b = 0 + 13 Combine like terms: 0 + 13 = 13 -1b = 13 Divide each side by '-1'. b = -13 Simplifying b = -13

Subproblem 3

Set the factor '(16 + -1b)' equal to zero and attempt to solve: Simplifying 16 + -1b = 0 Solving 16 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1b = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1b = 0 + -16 -1b = 0 + -16 Combine like terms: 0 + -16 = -16 -1b = -16 Divide each side by '-1'. b = 16 Simplifying b = 16

Solution

b = {0, -13, 16}

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