(11r+9)(2r-7)=0

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Solution for (11r+9)(2r-7)=0 equation: 


Simplifying
(11r + 9)(2r + -7) = 0

Reorder the terms:
(9 + 11r)(2r + -7) = 0

Reorder the terms:
(9 + 11r)(-7 + 2r) = 0

Multiply (9 + 11r) * (-7 + 2r)
(9(-7 + 2r) + 11r * (-7 + 2r)) = 0
((-7 * 9 + 2r * 9) + 11r * (-7 + 2r)) = 0
((-63 + 18r) + 11r * (-7 + 2r)) = 0
(-63 + 18r + (-7 * 11r + 2r * 11r)) = 0
(-63 + 18r + (-77r + 22r2)) = 0

Combine like terms: 18r + -77r = -59r
(-63 + -59r + 22r2) = 0

Solving
-63 + -59r + 22r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-9 + -11r)(7 + -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 '(7 + -2r)' equal to zero and attempt to solve:

Simplifying
7 + -2r = 0

Solving
7 + -2r = 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 + -2r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2r = 0 + -7
-2r = 0 + -7

Combine like terms: 0 + -7 = -7
-2r = -7

Divide each side by '-2'.
r = 3.5

Simplifying
r = 3.5
Solution
r = {-0.8181818182, 3.5}

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