7x^2+17bx+6b^2=0

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Solution for 7x^2+17bx+6b^2=0 equation: 


Simplifying
7x2 + 17bx + 6b2 = 0

Reorder the terms:
17bx + 6b2 + 7x2 = 0

Solving
17bx + 6b2 + 7x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + x)(3b + 7x) = 0


Subproblem 1
Set the factor '(2b + x)' equal to zero and attempt to solve:

Simplifying
2b + x = 0

Solving
2b + x = 0

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

Add '-1x' to each side of the equation.
2b + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
2b + 0 = 0 + -1x
2b = 0 + -1x
Remove the zero:
2b = -1x

Divide each side by '2'.
b = -0.5x

Simplifying
b = -0.5x

Subproblem 2
Set the factor '(3b + 7x)' equal to zero and attempt to solve:

Simplifying
3b + 7x = 0

Solving
3b + 7x = 0

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

Add '-7x' to each side of the equation.
3b + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
3b + 0 = 0 + -7x
3b = 0 + -7x
Remove the zero:
3b = -7x

Divide each side by '3'.
b = -2.333333333x

Simplifying
b = -2.333333333x
Solution
b = {-0.5x, -2.333333333x}

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