4r(-4r+5)=

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Solution for 4r(-4r+5)= equation: 


Simplifying
4r(-4r + 5) = 0

Reorder the terms:
4r(5 + -4r) = 0
(5 * 4r + -4r * 4r) = 0
(20r + -16r2) = 0

Solving
20r + -16r2 = 0

Solving for variable 'r'.

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

Ignore the factor 4.

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 + -4r)' equal to zero and attempt to solve:

Simplifying
5 + -4r = 0

Solving
5 + -4r = 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 + -4r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4r = 0 + -5
-4r = 0 + -5

Combine like terms: 0 + -5 = -5
-4r = -5

Divide each side by '-4'.
r = 1.25

Simplifying
r = 1.25
Solution
r = {0, 1.25}

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