(6k-7)(8k+5)=

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Solution for (6k-7)(8k+5)= equation: 


Simplifying
(6k + -7)(8k + 5) = 0

Reorder the terms:
(-7 + 6k)(8k + 5) = 0

Reorder the terms:
(-7 + 6k)(5 + 8k) = 0

Multiply (-7 + 6k) * (5 + 8k)
(-7(5 + 8k) + 6k * (5 + 8k)) = 0
((5 * -7 + 8k * -7) + 6k * (5 + 8k)) = 0
((-35 + -56k) + 6k * (5 + 8k)) = 0
(-35 + -56k + (5 * 6k + 8k * 6k)) = 0
(-35 + -56k + (30k + 48k2)) = 0

Combine like terms: -56k + 30k = -26k
(-35 + -26k + 48k2) = 0

Solving
-35 + -26k + 48k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-5 + -8k)(7 + -6k) = 0


Subproblem 1
Set the factor '(-5 + -8k)' equal to zero and attempt to solve:

Simplifying
-5 + -8k = 0

Solving
-5 + -8k = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8k = 0 + 5

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

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

Divide each side by '-8'.
k = -0.625

Simplifying
k = -0.625

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

Simplifying
7 + -6k = 0

Solving
7 + -6k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6k = 0 + -7

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

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

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

Simplifying
k = 1.166666667
Solution
k = {-0.625, 1.166666667}

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