12x^2-17xb-5b^2=

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Solution for 12x^2-17xb-5b^2= equation: 


Simplifying
12x2 + -17xb + -5b2 = 0

Reorder the terms:
-17bx + -5b2 + 12x2 = 0

Solving
-17bx + -5b2 + 12x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1b + -4x)(5b + -3x) = 0


Subproblem 1
Set the factor '(-1b + -4x)' equal to zero and attempt to solve:

Simplifying
-1b + -4x = 0

Solving
-1b + -4x = 0

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

Add '4x' to each side of the equation.
-1b + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
-1b + 0 = 0 + 4x
-1b = 0 + 4x
Remove the zero:
-1b = 4x

Divide each side by '-1'.
b = -4x

Simplifying
b = -4x

Subproblem 2
Set the factor '(5b + -3x)' equal to zero and attempt to solve:

Simplifying
5b + -3x = 0

Solving
5b + -3x = 0

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

Add '3x' to each side of the equation.
5b + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
5b + 0 = 0 + 3x
5b = 0 + 3x
Remove the zero:
5b = 3x

Divide each side by '5'.
b = 0.6x

Simplifying
b = 0.6x
Solution
b = {-4x, 0.6x}

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