5r(12r+7)=0

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Solution for 5r(12r+7)=0 equation: 


Simplifying
5r(12r + 7) = 0

Reorder the terms:
5r(7 + 12r) = 0
(7 * 5r + 12r * 5r) = 0
(35r + 60r2) = 0

Solving
35r + 60r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r'.
5r(7 + 12r) = 0

Ignore the factor 5.

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 + 12r)' equal to zero and attempt to solve:

Simplifying
7 + 12r = 0

Solving
7 + 12r = 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 + 12r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12r = 0 + -7
12r = 0 + -7

Combine like terms: 0 + -7 = -7
12r = -7

Divide each side by '12'.
r = -0.5833333333

Simplifying
r = -0.5833333333
Solution
r = {0, -0.5833333333}

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