3r^2+10r+0=0

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Solution for 3r^2+10r+0=0 equation: 


Simplifying
3r2 + 10r + 0 = 0

Reorder the terms:
0 + 10r + 3r2 = 0
Remove the zero:
10r + 3r2 = 0

Solving
10r + 3r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(10 + 3r) = 0


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 '(10 + 3r)' equal to zero and attempt to solve:

Simplifying
10 + 3r = 0

Solving
10 + 3r = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3r = 0 + -10
3r = 0 + -10

Combine like terms: 0 + -10 = -10
3r = -10

Divide each side by '3'.
r = -3.333333333

Simplifying
r = -3.333333333
Solution
r = {0, -3.333333333}

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