2x^2-8bx=-6b^2

Solution for 2x^2-8bx=-6b^2 equation:

Simplifying
2x2 + -8bx = -6b2

Reorder the terms:
-8bx + 2x2 = -6b2

Solving
-8bx + 2x2 = -6b2

Solving for variable 'b'.

Reorder the terms:
-8bx + 6b2 + 2x2 = -6b2 + 6b2

Combine like terms: -6b2 + 6b2 = 0
-8bx + 6b2 + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4bx + 3b2 + x2) = 0

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

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

Simplifying
b + -1x = 0

Solving
b + -1x = 0

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

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

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

Simplifying
b = x
Subproblem 2
Set the factor '(3b + -1x)' equal to zero and attempt to solve:

Simplifying
3b + -1x = 0

Solving
3b + -1x = 0

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

Add 'x' to each side of the equation.
3b + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3b + 0 = 0 + x
3b = 0 + x
Remove the zero:
3b = x

Divide each side by '3'.
b = 0.3333333333x

Simplifying
b = 0.3333333333x
Solution
b = {x, 0.3333333333x}