r^2+10r-36=3

Solution for r^2+10r-36=3 equation:

Simplifying
r2 + 10r + -36 = 3

Reorder the terms:
-36 + 10r + r2 = 3

Solving
-36 + 10r + r2 = 3

Solving for variable 'r'.

Reorder the terms:
-36 + -3 + 10r + r2 = 3 + -3

Combine like terms: -36 + -3 = -39
-39 + 10r + r2 = 3 + -3

Combine like terms: 3 + -3 = 0
-39 + 10r + r2 = 0

Factor a trinomial.
(-13 + -1r)(3 + -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 '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Solution
r = {-13, 3}