(5r+8)(3r+8)=

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Solution for (5r+8)(3r+8)= equation: 


Simplifying
(5r + 8)(3r + 8) = 0

Reorder the terms:
(8 + 5r)(3r + 8) = 0

Reorder the terms:
(8 + 5r)(8 + 3r) = 0

Multiply (8 + 5r) * (8 + 3r)
(8(8 + 3r) + 5r * (8 + 3r)) = 0
((8 * 8 + 3r * 8) + 5r * (8 + 3r)) = 0
((64 + 24r) + 5r * (8 + 3r)) = 0
(64 + 24r + (8 * 5r + 3r * 5r)) = 0
(64 + 24r + (40r + 15r2)) = 0

Combine like terms: 24r + 40r = 64r
(64 + 64r + 15r2) = 0

Solving
64 + 64r + 15r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(8 + 3r)(8 + 5r) = 0


Subproblem 1
Set the factor '(8 + 3r)' equal to zero and attempt to solve:

Simplifying
8 + 3r = 0

Solving
8 + 3r = 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 + 3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3r = 0 + -8
3r = 0 + -8

Combine like terms: 0 + -8 = -8
3r = -8

Divide each side by '3'.
r = -2.666666667

Simplifying
r = -2.666666667

Subproblem 2
Set the factor '(8 + 5r)' equal to zero and attempt to solve:

Simplifying
8 + 5r = 0

Solving
8 + 5r = 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 + 5r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5r = 0 + -8
5r = 0 + -8

Combine like terms: 0 + -8 = -8
5r = -8

Divide each side by '5'.
r = -1.6

Simplifying
r = -1.6
Solution
r = {-2.666666667, -1.6}

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