r^2+8r-58=7

Solution for r^2+8r-58=7 equation:

Simplifying
r2 + 8r + -58 = 7

Reorder the terms:
-58 + 8r + r2 = 7

Solving
-58 + 8r + r2 = 7

Solving for variable 'r'.

Reorder the terms:
-58 + -7 + 8r + r2 = 7 + -7

Combine like terms: -58 + -7 = -65
-65 + 8r + r2 = 7 + -7

Combine like terms: 7 + -7 = 0
-65 + 8r + r2 = 0

Factor a trinomial.
(-13 + -1r)(5 + -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 '(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 = {-13, 5}