r^2+6r-24=-8

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Solution for r^2+6r-24=-8 equation: 


Simplifying
r2 + 6r + -24 = -8

Reorder the terms:
-24 + 6r + r2 = -8

Solving
-24 + 6r + r2 = -8

Solving for variable 'r'.

Reorder the terms:
-24 + 8 + 6r + r2 = -8 + 8

Combine like terms: -24 + 8 = -16
-16 + 6r + r2 = -8 + 8

Combine like terms: -8 + 8 = 0
-16 + 6r + r2 = 0

Factor a trinomial.
(-8 + -1r)(2 + -1r) = 0


Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve:

Simplifying
-8 + -1r = 0

Solving
-8 + -1r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = 0 + 8
-1r = 0 + 8

Combine like terms: 0 + 8 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve:

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Solution
r = {-8, 2}

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