(4b^3)-(20b^2)=56b

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Solution for (4b^3)-(20b^2)=56b equation:


Simplifying
(4b3) + -1(20b2) = 56b

Remove parenthesis around (20b2)
(4b3) + -1 * 20b2 = 56b

Multiply -1 * 20
(4b3) + -20b2 = 56b

Reorder the terms:
-20b2 + (4b3) = 56b

Solving
-20b2 + (4b3) = 56b

Solving for variable 'b'.

Reorder the terms:
-56b + -20b2 + (4b3) = 56b + -56b

Combine like terms: 56b + -56b = 0
-56b + -20b2 + (4b3) = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-14 + -5b + b2) = 0

Factor a trinomial.
4b((-2 + -1b)(7 + -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 '(-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 '(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

Solution

b = {0, -2, 7}

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