15b^3+66b^2-45b=0

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Solution for 15b^3+66b^2-45b=0 equation:


Simplifying
15b3 + 66b2 + -45b = 0

Reorder the terms:
-45b + 66b2 + 15b3 = 0

Solving
-45b + 66b2 + 15b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-15 + 22b + 5b2) = 0

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

Subproblem 3

Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 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 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6

Solution

b = {0, -5, 0.6}

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