r^2+2r-7=-7

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


Simplifying
r2 + 2r + -7 = -7

Reorder the terms:
-7 + 2r + r2 = -7

Add '7' to each side of the equation.
-7 + 2r + 7 + r2 = -7 + 7

Reorder the terms:
-7 + 7 + 2r + r2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + 2r + r2 = -7 + 7
2r + r2 = -7 + 7

Combine like terms: -7 + 7 = 0
2r + r2 = 0

Solving
2r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(2 + r) = 0


Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

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

Simplifying
2 + r = 0

Solving
2 + r = 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 + r = 0 + -2

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

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

Simplifying
r = -2
Solution
r = {0, -2}

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