r^2-13rx+36x^2=0

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Solution for r^2-13rx+36x^2=0 equation: 


Simplifying
r2 + -13rx + 36x2 = 0

Reorder the terms:
-13rx + r2 + 36x2 = 0

Solving
-13rx + r2 + 36x2 = 0

Solving for variable 'r'.

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


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

Simplifying
r + -9x = 0

Solving
r + -9x = 0

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

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

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

Simplifying
r = 9x

Subproblem 2
Set the factor '(r + -4x)' equal to zero and attempt to solve:

Simplifying
r + -4x = 0

Solving
r + -4x = 0

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

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

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

Simplifying
r = 4x
Solution
r = {9x, 4x}

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