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

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


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

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

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

Multiply (8 + 3r) * (-8 + r)
(8(-8 + r) + 3r * (-8 + r)) = 0
((-8 * 8 + r * 8) + 3r * (-8 + r)) = 0
((-64 + 8r) + 3r * (-8 + r)) = 0
(-64 + 8r + (-8 * 3r + r * 3r)) = 0
(-64 + 8r + (-24r + 3r2)) = 0

Combine like terms: 8r + -24r = -16r
(-64 + -16r + 3r2) = 0

Solving
-64 + -16r + 3r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -3r)(8 + -1r) = 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 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 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 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {-2.666666667, 8}

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