169-26r+r^2=0

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Solution for 169-26r+r^2=0 equation:


Simplifying
169 + -26r + r2 = 0

Solving
169 + -26r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(13 + -1r)(13 + -1r) = 0

Subproblem 1

Set the factor '(13 + -1r)' equal to zero and attempt to solve: Simplifying 13 + -1r = 0 Solving 13 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1r = 0 + -13 -1r = 0 + -13 Combine like terms: 0 + -13 = -13 -1r = -13 Divide each side by '-1'. r = 13 Simplifying r = 13

Subproblem 2

Set the factor '(13 + -1r)' equal to zero and attempt to solve: Simplifying 13 + -1r = 0 Solving 13 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1r = 0 + -13 -1r = 0 + -13 Combine like terms: 0 + -13 = -13 -1r = -13 Divide each side by '-1'. r = 13 Simplifying r = 13

Solution

r = {13, 13}

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