6b^2+45b=0

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Solution for 6b^2+45b=0 equation:


Simplifying
6b2 + 45b = 0

Reorder the terms:
45b + 6b2 = 0

Solving
45b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(15 + 2b) = 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 '(15 + 2b)' equal to zero and attempt to solve: Simplifying 15 + 2b = 0 Solving 15 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2b = 0 + -15 2b = 0 + -15 Combine like terms: 0 + -15 = -15 2b = -15 Divide each side by '2'. b = -7.5 Simplifying b = -7.5

Solution

b = {0, -7.5}

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