6r^2-49r+49=0

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Solution for 6r^2-49r+49=0 equation: 


Simplifying
6r2 + -49r + 49 = 0

Reorder the terms:
49 + -49r + 6r2 = 0

Solving
49 + -49r + 6r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(7 + -6r)(7 + -1r) = 0


Subproblem 1
Set the factor '(7 + -6r)' equal to zero and attempt to solve:

Simplifying
7 + -6r = 0

Solving
7 + -6r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6r = 0 + -7
-6r = 0 + -7

Combine like terms: 0 + -7 = -7
-6r = -7

Divide each side by '-6'.
r = 1.166666667

Simplifying
r = 1.166666667

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {1.166666667, 7}

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