3r(10r+7)=0

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Solution for 3r(10r+7)=0 equation: 


Simplifying
3r(10r + 7) = 0

Reorder the terms:
3r(7 + 10r) = 0
(7 * 3r + 10r * 3r) = 0
(21r + 30r2) = 0

Solving
21r + 30r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(7 + 10r) = 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 '(7 + 10r)' equal to zero and attempt to solve:

Simplifying
7 + 10r = 0

Solving
7 + 10r = 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 + 10r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10r = 0 + -7
10r = 0 + -7

Combine like terms: 0 + -7 = -7
10r = -7

Divide each side by '10'.
r = -0.7

Simplifying
r = -0.7
Solution
r = {0, -0.7}

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