4r(7-5r)=

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Solution for 4r(7-5r)= equation: 


Simplifying
4r(7 + -5r) = 0
(7 * 4r + -5r * 4r) = 0
(28r + -20r2) = 0

Solving
28r + -20r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r'.
4r(7 + -5r) = 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 '(7 + -5r)' equal to zero and attempt to solve:

Simplifying
7 + -5r = 0

Solving
7 + -5r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5r = 0 + -7
-5r = 0 + -7

Combine like terms: 0 + -7 = -7
-5r = -7

Divide each side by '-5'.
r = 1.4

Simplifying
r = 1.4
Solution
r = {0, 1.4}

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