b^2-6bx-27x^2=

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Solution for b^2-6bx-27x^2= equation: 


Simplifying
b2 + -6bx + -27x2 = 0

Reorder the terms:
-6bx + b2 + -27x2 = 0

Solving
-6bx + b2 + -27x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(b + -9x)(b + 3x) = 0


Subproblem 1
Set the factor '(b + -9x)' equal to zero and attempt to solve:

Simplifying
b + -9x = 0

Solving
b + -9x = 0

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

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

Combine like terms: -9x + 9x = 0
b + 0 = 0 + 9x
b = 0 + 9x
Remove the zero:
b = 9x

Simplifying
b = 9x

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

Simplifying
b + 3x = 0

Solving
b + 3x = 0

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

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

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

Simplifying
b = -3x
Solution
b = {9x, -3x}

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