(6k+4)(7k-7)=

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Solution for (6k+4)(7k-7)= equation: 


Simplifying
(6k + 4)(7k + -7) = 0

Reorder the terms:
(4 + 6k)(7k + -7) = 0

Reorder the terms:
(4 + 6k)(-7 + 7k) = 0

Multiply (4 + 6k) * (-7 + 7k)
(4(-7 + 7k) + 6k * (-7 + 7k)) = 0
((-7 * 4 + 7k * 4) + 6k * (-7 + 7k)) = 0
((-28 + 28k) + 6k * (-7 + 7k)) = 0
(-28 + 28k + (-7 * 6k + 7k * 6k)) = 0
(-28 + 28k + (-42k + 42k2)) = 0

Combine like terms: 28k + -42k = -14k
(-28 + -14k + 42k2) = 0

Solving
-28 + -14k + 42k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-2 + -1k + 3k2) = 0

Factor a trinomial.
14((-2 + -3k)(1 + -1k)) = 0

Ignore the factor 14.

Subproblem 1
Set the factor '(-2 + -3k)' equal to zero and attempt to solve:

Simplifying
-2 + -3k = 0

Solving
-2 + -3k = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3k = 0 + 2
-3k = 0 + 2

Combine like terms: 0 + 2 = 2
-3k = 2

Divide each side by '-3'.
k = -0.6666666667

Simplifying
k = -0.6666666667

Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

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

Simplifying
k = 1
Solution
k = {-0.6666666667, 1}

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