3r^2-11r-60=2r-4

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Solution for 3r^2-11r-60=2r-4 equation: 


Simplifying
3r2 + -11r + -60 = 2r + -4

Reorder the terms:
-60 + -11r + 3r2 = 2r + -4

Reorder the terms:
-60 + -11r + 3r2 = -4 + 2r

Solving
-60 + -11r + 3r2 = -4 + 2r

Solving for variable 'r'.

Reorder the terms:
-60 + 4 + -11r + -2r + 3r2 = -4 + 2r + 4 + -2r

Combine like terms: -60 + 4 = -56
-56 + -11r + -2r + 3r2 = -4 + 2r + 4 + -2r

Combine like terms: -11r + -2r = -13r
-56 + -13r + 3r2 = -4 + 2r + 4 + -2r

Reorder the terms:
-56 + -13r + 3r2 = -4 + 4 + 2r + -2r

Combine like terms: -4 + 4 = 0
-56 + -13r + 3r2 = 0 + 2r + -2r
-56 + -13r + 3r2 = 2r + -2r

Combine like terms: 2r + -2r = 0
-56 + -13r + 3r2 = 0

Factor a trinomial.
(-8 + -3r)(7 + -1r) = 0


Subproblem 1
Set the factor '(-8 + -3r)' equal to zero and attempt to solve:

Simplifying
-8 + -3r = 0

Solving
-8 + -3r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3r = 0 + 8
-3r = 0 + 8

Combine like terms: 0 + 8 = 8
-3r = 8

Divide each side by '-3'.
r = -2.666666667

Simplifying
r = -2.666666667

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 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 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {-2.666666667, 7}

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