(8k-2)(7k-2)=

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Solution for (8k-2)(7k-2)= equation: 


Simplifying
(8k + -2)(7k + -2) = 0

Reorder the terms:
(-2 + 8k)(7k + -2) = 0

Reorder the terms:
(-2 + 8k)(-2 + 7k) = 0

Multiply (-2 + 8k) * (-2 + 7k)
(-2(-2 + 7k) + 8k * (-2 + 7k)) = 0
((-2 * -2 + 7k * -2) + 8k * (-2 + 7k)) = 0
((4 + -14k) + 8k * (-2 + 7k)) = 0
(4 + -14k + (-2 * 8k + 7k * 8k)) = 0
(4 + -14k + (-16k + 56k2)) = 0

Combine like terms: -14k + -16k = -30k
(4 + -30k + 56k2) = 0

Solving
4 + -30k + 56k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -15k + 28k2) = 0

Factor a trinomial.
2((1 + -4k)(2 + -7k)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -4k)' equal to zero and attempt to solve:

Simplifying
1 + -4k = 0

Solving
1 + -4k = 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 + -4k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4k = 0 + -1
-4k = 0 + -1

Combine like terms: 0 + -1 = -1
-4k = -1

Divide each side by '-4'.
k = 0.25

Simplifying
k = 0.25

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

Simplifying
2 + -7k = 0

Solving
2 + -7k = 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 + -7k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7k = 0 + -2
-7k = 0 + -2

Combine like terms: 0 + -2 = -2
-7k = -2

Divide each side by '-7'.
k = 0.2857142857

Simplifying
k = 0.2857142857
Solution
k = {0.25, 0.2857142857}

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