(11r+8)(3r-2)=0

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Solution for (11r+8)(3r-2)=0 equation: 


Simplifying
(11r + 8)(3r + -2) = 0

Reorder the terms:
(8 + 11r)(3r + -2) = 0

Reorder the terms:
(8 + 11r)(-2 + 3r) = 0

Multiply (8 + 11r) * (-2 + 3r)
(8(-2 + 3r) + 11r * (-2 + 3r)) = 0
((-2 * 8 + 3r * 8) + 11r * (-2 + 3r)) = 0
((-16 + 24r) + 11r * (-2 + 3r)) = 0
(-16 + 24r + (-2 * 11r + 3r * 11r)) = 0
(-16 + 24r + (-22r + 33r2)) = 0

Combine like terms: 24r + -22r = 2r
(-16 + 2r + 33r2) = 0

Solving
-16 + 2r + 33r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -11r)(2 + -3r) = 0


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 '(2 + -3r)' equal to zero and attempt to solve:

Simplifying
2 + -3r = 0

Solving
2 + -3r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = 0 + -2
-3r = 0 + -2

Combine like terms: 0 + -2 = -2
-3r = -2

Divide each side by '-3'.
r = 0.6666666667

Simplifying
r = 0.6666666667
Solution
r = {-0.7272727273, 0.6666666667}

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