-7r(-8+3r)=

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Solution for -7r(-8+3r)= equation: 


Simplifying
-7r(-8 + 3r) = 0
(-8 * -7r + 3r * -7r) = 0
(56r + -21r2) = 0

Solving
56r + -21r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '7r'.
7r(8 + -3r) = 0

Ignore the factor 7.

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 '(8 + -3r)' equal to zero and attempt to solve:

Simplifying
8 + -3r = 0

Solving
8 + -3r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3r = 0 + -8
-3r = 0 + -8

Combine like terms: 0 + -8 = -8
-3r = -8

Divide each side by '-3'.
r = 2.666666667

Simplifying
r = 2.666666667
Solution
r = {0, 2.666666667}

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