2k^2+14k-8=8

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Solution for 2k^2+14k-8=8 equation: 


Simplifying
2k2 + 14k + -8 = 8

Reorder the terms:
-8 + 14k + 2k2 = 8

Solving
-8 + 14k + 2k2 = 8

Solving for variable 'k'.

Reorder the terms:
-8 + -8 + 14k + 2k2 = 8 + -8

Combine like terms: -8 + -8 = -16
-16 + 14k + 2k2 = 8 + -8

Combine like terms: 8 + -8 = 0
-16 + 14k + 2k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 7k + k2) = 0

Factor a trinomial.
2((-8 + -1k)(1 + -1k)) = 0

Ignore the factor 2.

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

Simplifying
-8 + -1k = 0

Solving
-8 + -1k = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1k = 0 + 8
-1k = 0 + 8

Combine like terms: 0 + 8 = 8
-1k = 8

Divide each side by '-1'.
k = -8

Simplifying
k = -8

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 = {-8, 1}

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