7r^2-64r+64=0

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Solution for 7r^2-64r+64=0 equation: 


Simplifying
7r2 + -64r + 64 = 0

Reorder the terms:
64 + -64r + 7r2 = 0

Solving
64 + -64r + 7r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(8 + -7r)(8 + -1r) = 0


Subproblem 1
Set the factor '(8 + -7r)' equal to zero and attempt to solve:

Simplifying
8 + -7r = 0

Solving
8 + -7r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7r = 0 + -8
-7r = 0 + -8

Combine like terms: 0 + -8 = -8
-7r = -8

Divide each side by '-7'.
r = 1.142857143

Simplifying
r = 1.142857143

Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {1.142857143, 8}

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