5b(4b+9)=0

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Solution for 5b(4b+9)=0 equation: 


Simplifying
5b(4b + 9) = 0

Reorder the terms:
5b(9 + 4b) = 0
(9 * 5b + 4b * 5b) = 0
(45b + 20b2) = 0

Solving
45b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(9 + 4b) = 0

Ignore the factor 5.

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 '(9 + 4b)' equal to zero and attempt to solve:

Simplifying
9 + 4b = 0

Solving
9 + 4b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 4b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4b = 0 + -9
4b = 0 + -9

Combine like terms: 0 + -9 = -9
4b = -9

Divide each side by '4'.
b = -2.25

Simplifying
b = -2.25
Solution
b = {0, -2.25}

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