0=r(r+5)

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Solution for 0=r(r+5) equation:


Simplifying
0 = r(r + 5)

Reorder the terms:
0 = r(5 + r)
0 = (5 * r + r * r)
0 = (5r + r2)

Solving
0 = 5r + r2

Solving for variable 'r'.
Remove the zero:
-5r + -1r2 = 5r + r2 + -5r + -1r2

Reorder the terms:
-5r + -1r2 = 5r + -5r + r2 + -1r2

Combine like terms: 5r + -5r = 0
-5r + -1r2 = 0 + r2 + -1r2
-5r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-5r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), '-1r'.
-1r(5 + r) = 0

Ignore the factor -1.

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 '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5

Solution

r = {0, -5}

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