9b^2-13bx+4x^2=0

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Solution for 9b^2-13bx+4x^2=0 equation: 


Simplifying
9b2 + -13bx + 4x2 = 0

Reorder the terms:
-13bx + 9b2 + 4x2 = 0

Solving
-13bx + 9b2 + 4x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(b + -1x)(9b + -4x) = 0


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 '(9b + -4x)' equal to zero and attempt to solve:

Simplifying
9b + -4x = 0

Solving
9b + -4x = 0

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

Add '4x' to each side of the equation.
9b + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
9b + 0 = 0 + 4x
9b = 0 + 4x
Remove the zero:
9b = 4x

Divide each side by '9'.
b = 0.4444444444x

Simplifying
b = 0.4444444444x
Solution
b = {x, 0.4444444444x}

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