(11r+8)(3r-4)=0

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Solution for (11r+8)(3r-4)=0 equation: 


Simplifying
(11r + 8)(3r + -4) = 0

Reorder the terms:
(8 + 11r)(3r + -4) = 0

Reorder the terms:
(8 + 11r)(-4 + 3r) = 0

Multiply (8 + 11r) * (-4 + 3r)
(8(-4 + 3r) + 11r * (-4 + 3r)) = 0
((-4 * 8 + 3r * 8) + 11r * (-4 + 3r)) = 0
((-32 + 24r) + 11r * (-4 + 3r)) = 0
(-32 + 24r + (-4 * 11r + 3r * 11r)) = 0
(-32 + 24r + (-44r + 33r2)) = 0

Combine like terms: 24r + -44r = -20r
(-32 + -20r + 33r2) = 0

Solving
-32 + -20r + 33r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -11r)(4 + -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 '(4 + -3r)' equal to zero and attempt to solve:

Simplifying
4 + -3r = 0

Solving
4 + -3r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3r = 0 + -4
-3r = 0 + -4

Combine like terms: 0 + -4 = -4
-3r = -4

Divide each side by '-3'.
r = 1.333333333

Simplifying
r = 1.333333333
Solution
r = {-0.7272727273, 1.333333333}

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