5b^2+30by+45y^2=

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Solution for 5b^2+30by+45y^2= equation: 


Simplifying
5b2 + 30by + 45y2 = 0

Reorder the terms:
30by + 5b2 + 45y2 = 0

Solving
30by + 5b2 + 45y2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6by + b2 + 9y2) = 0

Factor a trinomial.
5((b + 3y)(b + 3y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(b + 3y)' equal to zero and attempt to solve:

Simplifying
b + 3y = 0

Solving
b + 3y = 0

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

Add '-3y' to each side of the equation.
b + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
b + 0 = 0 + -3y
b = 0 + -3y
Remove the zero:
b = -3y

Simplifying
b = -3y

Subproblem 2
Set the factor '(b + 3y)' equal to zero and attempt to solve:

Simplifying
b + 3y = 0

Solving
b + 3y = 0

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

Add '-3y' to each side of the equation.
b + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
b + 0 = 0 + -3y
b = 0 + -3y
Remove the zero:
b = -3y

Simplifying
b = -3y
Solution
b = {-3y, -3y}

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