(11r+8)(3r-9)=0

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Solution for (11r+8)(3r-9)=0 equation: 


Simplifying
(11r + 8)(3r + -9) = 0

Reorder the terms:
(8 + 11r)(3r + -9) = 0

Reorder the terms:
(8 + 11r)(-9 + 3r) = 0

Multiply (8 + 11r) * (-9 + 3r)
(8(-9 + 3r) + 11r * (-9 + 3r)) = 0
((-9 * 8 + 3r * 8) + 11r * (-9 + 3r)) = 0
((-72 + 24r) + 11r * (-9 + 3r)) = 0
(-72 + 24r + (-9 * 11r + 3r * 11r)) = 0
(-72 + 24r + (-99r + 33r2)) = 0

Combine like terms: 24r + -99r = -75r
(-72 + -75r + 33r2) = 0

Solving
-72 + -75r + 33r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25r + 11r2) = 0

Factor a trinomial.
3((-8 + -11r)(3 + -1r)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11r)' equal to zero and attempt to solve:

Simplifying
-8 + -11r = 0

Solving
-8 + -11r = 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 + -11r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11r = 0 + 8
-11r = 0 + 8

Combine like terms: 0 + 8 = 8
-11r = 8

Divide each side by '-11'.
r = -0.7272727273

Simplifying
r = -0.7272727273

Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Solution
r = {-0.7272727273, 3}

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