0=5r^2-20r

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Solution for 0=5r^2-20r equation:


Simplifying
0 = 5r2 + -20r

Reorder the terms:
0 = -20r + 5r2

Solving
0 = -20r + 5r2

Solving for variable 'r'.
Remove the zero:
20r + -5r2 = -20r + 5r2 + 20r + -5r2

Reorder the terms:
20r + -5r2 = -20r + 20r + 5r2 + -5r2

Combine like terms: -20r + 20r = 0
20r + -5r2 = 0 + 5r2 + -5r2
20r + -5r2 = 5r2 + -5r2

Combine like terms: 5r2 + -5r2 = 0
20r + -5r2 = 0

Factor out the Greatest Common Factor (GCF), '5r'.
5r(4 + -1r) = 0

Ignore the factor 5.

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 '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4

Solution

r = {0, 4}

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