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

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Solution for 2(k-7)(7k+2)=0 equation: 


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

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

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

Multiply (-7 + k) * (2 + 7k)
2(-7(2 + 7k) + k(2 + 7k)) = 0
2((2 * -7 + 7k * -7) + k(2 + 7k)) = 0
2((-14 + -49k) + k(2 + 7k)) = 0
2(-14 + -49k + (2 * k + 7k * k)) = 0
2(-14 + -49k + (2k + 7k2)) = 0

Combine like terms: -49k + 2k = -47k
2(-14 + -47k + 7k2) = 0
(-14 * 2 + -47k * 2 + 7k2 * 2) = 0
(-28 + -94k + 14k2) = 0

Solving
-28 + -94k + 14k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -47k + 7k2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 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 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {-0.2857142857, 7}

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