36(r^2)-60r+25=0

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Solution for 36(r^2)-60r+25=0 equation:


Simplifying
36(r2) + -60r + 25 = 0

Reorder the terms:
25 + -60r + 36r2 = 0

Solving
25 + -60r + 36r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + -6r)(5 + -6r) = 0

Subproblem 1

Set the factor '(5 + -6r)' equal to zero and attempt to solve: Simplifying 5 + -6r = 0 Solving 5 + -6r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 0 + -5 -6r = 0 + -5 Combine like terms: 0 + -5 = -5 -6r = -5 Divide each side by '-6'. r = 0.8333333333 Simplifying r = 0.8333333333

Subproblem 2

Set the factor '(5 + -6r)' equal to zero and attempt to solve: Simplifying 5 + -6r = 0 Solving 5 + -6r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 0 + -5 -6r = 0 + -5 Combine like terms: 0 + -5 = -5 -6r = -5 Divide each side by '-6'. r = 0.8333333333 Simplifying r = 0.8333333333

Solution

r = {0.8333333333, 0.8333333333}

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