12r^2+5r-12r=0

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Solution for 12r^2+5r-12r=0 equation: 


Simplifying
12r2 + 5r + -12r = 0

Reorder the terms:
5r + -12r + 12r2 = 0

Combine like terms: 5r + -12r = -7r
-7r + 12r2 = 0

Solving
-7r + 12r2 = 0

Solving for variable 'r'.

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