(11r+9)(2r-5)=0

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Solution for (11r+9)(2r-5)=0 equation: 


Simplifying
(11r + 9)(2r + -5) = 0

Reorder the terms:
(9 + 11r)(2r + -5) = 0

Reorder the terms:
(9 + 11r)(-5 + 2r) = 0

Multiply (9 + 11r) * (-5 + 2r)
(9(-5 + 2r) + 11r * (-5 + 2r)) = 0
((-5 * 9 + 2r * 9) + 11r * (-5 + 2r)) = 0
((-45 + 18r) + 11r * (-5 + 2r)) = 0
(-45 + 18r + (-5 * 11r + 2r * 11r)) = 0
(-45 + 18r + (-55r + 22r2)) = 0

Combine like terms: 18r + -55r = -37r
(-45 + -37r + 22r2) = 0

Solving
-45 + -37r + 22r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-9 + -11r)(5 + -2r) = 0


Subproblem 1
Set the factor '(-9 + -11r)' equal to zero and attempt to solve:

Simplifying
-9 + -11r = 0

Solving
-9 + -11r = 0

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

Add '9' to each side of the equation.
-9 + 9 + -11r = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -11r = 0 + 9
-11r = 0 + 9

Combine like terms: 0 + 9 = 9
-11r = 9

Divide each side by '-11'.
r = -0.8181818182

Simplifying
r = -0.8181818182

Subproblem 2
Set the factor '(5 + -2r)' equal to zero and attempt to solve:

Simplifying
5 + -2r = 0

Solving
5 + -2r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = 0 + -5
-2r = 0 + -5

Combine like terms: 0 + -5 = -5
-2r = -5

Divide each side by '-2'.
r = 2.5

Simplifying
r = 2.5
Solution
r = {-0.8181818182, 2.5}

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