R(R-10)=-25

Solution for R(R-10)=-25 equation:

Simplifying
R(R + -10) = -25

Reorder the terms:
R(-10 + R) = -25
(-10 * R + R * R) = -25
(-10R + R2) = -25

Solving
-10R + R2 = -25

Solving for variable 'R'.

Reorder the terms:
25 + -10R + R2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + -10R + R2 = 0

Factor a trinomial.
(5 + -1R)(5 + -1R) = 0

Subproblem 1
Set the factor '(5 + -1R)' equal to zero and attempt to solve:

Simplifying
5 + -1R = 0

Solving
5 + -1R = 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 + -1R = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1R = 0 + -5
-1R = 0 + -5

Combine like terms: 0 + -5 = -5
-1R = -5

Divide each side by '-1'.
R = 5

Simplifying
R = 5
Subproblem 2
Set the factor '(5 + -1R)' equal to zero and attempt to solve:

Simplifying
5 + -1R = 0

Solving
5 + -1R = 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 + -1R = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1R = 0 + -5
-1R = 0 + -5

Combine like terms: 0 + -5 = -5
-1R = -5

Divide each side by '-1'.
R = 5

Simplifying
R = 5
Solution
R = {5, 5}