4b^7-4b^6-24b^5=

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Solution for 4b^7-4b^6-24b^5= equation:


Simplifying
4b7 + -4b6 + -24b5 = 0

Reorder the terms:
-24b5 + -4b6 + 4b7 = 0

Solving
-24b5 + -4b6 + 4b7 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b5'.
4b5(-6 + -1b + b2) = 0

Factor a trinomial.
4b5((-2 + -1b)(3 + -1b)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'b5' equal to zero and attempt to solve: Simplifying b5 = 0 Solving b5 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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 3

Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3

Solution

b = {-2, 3}

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