3r+6r(2r-5)=

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Solution for 3r+6r(2r-5)= equation: 


Simplifying
3r + 6r(2r + -5) = 0

Reorder the terms:
3r + 6r(-5 + 2r) = 0
3r + (-5 * 6r + 2r * 6r) = 0
3r + (-30r + 12r2) = 0

Combine like terms: 3r + -30r = -27r
-27r + 12r2 = 0

Solving
-27r + 12r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(-9 + 4r) = 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 '(-9 + 4r)' equal to zero and attempt to solve:

Simplifying
-9 + 4r = 0

Solving
-9 + 4r = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4r = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4r = 0 + 9
4r = 0 + 9

Combine like terms: 0 + 9 = 9
4r = 9

Divide each side by '4'.
r = 2.25

Simplifying
r = 2.25
Solution
r = {0, 2.25}

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