9b^2x+54bx+144x=0

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Solution for 9b^2x+54bx+144x=0 equation: 


Simplifying
9b2x + 54bx + 144x = 0

Reorder the terms:
54bx + 9b2x + 144x = 0

Solving
54bx + 9b2x + 144x = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(6b + b2 + 16) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(6b + b2 + 16)' equal to zero and attempt to solve:

Simplifying
6b + b2 + 16 = 0

Reorder the terms:
16 + 6b + b2 = 0

Solving
16 + 6b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 6b + -16 + b2 = 0 + -16

Reorder the terms:
16 + -16 + 6b + b2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 6b + b2 = 0 + -16
6b + b2 = 0 + -16

Combine like terms: 0 + -16 = -16
6b + b2 = -16

The b term is 6b.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6b + 9 + b2 = -16 + 9

Reorder the terms:
9 + 6b + b2 = -16 + 9

Combine like terms: -16 + 9 = -7
9 + 6b + b2 = -7

Factor a perfect square on the left side:
(b + 3)(b + 3) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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