(6r-7)(r+8)=0

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Solution for (6r-7)(r+8)=0 equation: 


Simplifying
(6r + -7)(r + 8) = 0

Reorder the terms:
(-7 + 6r)(r + 8) = 0

Reorder the terms:
(-7 + 6r)(8 + r) = 0

Multiply (-7 + 6r) * (8 + r)
(-7(8 + r) + 6r * (8 + r)) = 0
((8 * -7 + r * -7) + 6r * (8 + r)) = 0
((-56 + -7r) + 6r * (8 + r)) = 0
(-56 + -7r + (8 * 6r + r * 6r)) = 0
(-56 + -7r + (48r + 6r2)) = 0

Combine like terms: -7r + 48r = 41r
(-56 + 41r + 6r2) = 0

Solving
-56 + 41r + 6r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -1r)(7 + -6r) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -6r)' equal to zero and attempt to solve:

Simplifying
7 + -6r = 0

Solving
7 + -6r = 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 + -6r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6r = 0 + -7
-6r = 0 + -7

Combine like terms: 0 + -7 = -7
-6r = -7

Divide each side by '-6'.
r = 1.166666667

Simplifying
r = 1.166666667
Solution
r = {-8, 1.166666667}

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