3r(7r-8)=

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


Simplifying
3r(7r + -8) = 0

Reorder the terms:
3r(-8 + 7r) = 0
(-8 * 3r + 7r * 3r) = 0
(-24r + 21r2) = 0

Solving
-24r + 21r2 = 0

Solving for variable 'r'.

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

Ignore the factor 3.

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 + 7r)' equal to zero and attempt to solve:

Simplifying
-8 + 7r = 0

Solving
-8 + 7r = 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 + 7r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7r = 0 + 8
7r = 0 + 8

Combine like terms: 0 + 8 = 8
7r = 8

Divide each side by '7'.
r = 1.142857143

Simplifying
r = 1.142857143
Solution
r = {0, 1.142857143}

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