(8r+9)(9r+8)=

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Solution for (8r+9)(9r+8)= equation: 


Simplifying
(8r + 9)(9r + 8) = 0

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

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

Multiply (9 + 8r) * (8 + 9r)
(9(8 + 9r) + 8r * (8 + 9r)) = 0
((8 * 9 + 9r * 9) + 8r * (8 + 9r)) = 0
((72 + 81r) + 8r * (8 + 9r)) = 0
(72 + 81r + (8 * 8r + 9r * 8r)) = 0
(72 + 81r + (64r + 72r2)) = 0

Combine like terms: 81r + 64r = 145r
(72 + 145r + 72r2) = 0

Solving
72 + 145r + 72r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(9 + 8r)(8 + 9r) = 0


Subproblem 1
Set the factor '(9 + 8r)' equal to zero and attempt to solve:

Simplifying
9 + 8r = 0

Solving
9 + 8r = 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 + 8r = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8r = 0 + -9
8r = 0 + -9

Combine like terms: 0 + -9 = -9
8r = -9

Divide each side by '8'.
r = -1.125

Simplifying
r = -1.125

Subproblem 2
Set the factor '(8 + 9r)' equal to zero and attempt to solve:

Simplifying
8 + 9r = 0

Solving
8 + 9r = 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 + 9r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9r = 0 + -8
9r = 0 + -8

Combine like terms: 0 + -8 = -8
9r = -8

Divide each side by '9'.
r = -0.8888888889

Simplifying
r = -0.8888888889
Solution
r = {-1.125, -0.8888888889}

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