6r(13r+7)=0

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Solution for 6r(13r+7)=0 equation: 


Simplifying
6r(13r + 7) = 0

Reorder the terms:
6r(7 + 13r) = 0
(7 * 6r + 13r * 6r) = 0
(42r + 78r2) = 0

Solving
42r + 78r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(7 + 13r) = 0

Ignore the factor 6.

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 + 13r)' equal to zero and attempt to solve:

Simplifying
7 + 13r = 0

Solving
7 + 13r = 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 + 13r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 13r = 0 + -7
13r = 0 + -7

Combine like terms: 0 + -7 = -7
13r = -7

Divide each side by '13'.
r = -0.5384615385

Simplifying
r = -0.5384615385
Solution
r = {0, -0.5384615385}

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