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

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


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

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

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

Multiply (-8 + 6r) * (7 + 7r)
(-8(7 + 7r) + 6r * (7 + 7r)) = 0
((7 * -8 + 7r * -8) + 6r * (7 + 7r)) = 0
((-56 + -56r) + 6r * (7 + 7r)) = 0
(-56 + -56r + (7 * 6r + 7r * 6r)) = 0
(-56 + -56r + (42r + 42r2)) = 0

Combine like terms: -56r + 42r = -14r
(-56 + -14r + 42r2) = 0

Solving
-56 + -14r + 42r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-4 + -1r + 3r2) = 0

Factor a trinomial.
14((-1 + -1r)(4 + -3r)) = 0

Ignore the factor 14.

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

Simplifying
-1 + -1r = 0

Solving
-1 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1r = 0 + 1

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

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

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

Simplifying
r = -1

Subproblem 2
Set the factor '(4 + -3r)' equal to zero and attempt to solve:

Simplifying
4 + -3r = 0

Solving
4 + -3r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3r = 0 + -4
-3r = 0 + -4

Combine like terms: 0 + -4 = -4
-3r = -4

Divide each side by '-3'.
r = 1.333333333

Simplifying
r = 1.333333333
Solution
r = {-1, 1.333333333}

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