14k^2-31k+28=6k+4

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Solution for 14k^2-31k+28=6k+4 equation: 


Simplifying
14k2 + -31k + 28 = 6k + 4

Reorder the terms:
28 + -31k + 14k2 = 6k + 4

Reorder the terms:
28 + -31k + 14k2 = 4 + 6k

Solving
28 + -31k + 14k2 = 4 + 6k

Solving for variable 'k'.

Reorder the terms:
28 + -4 + -31k + -6k + 14k2 = 4 + 6k + -4 + -6k

Combine like terms: 28 + -4 = 24
24 + -31k + -6k + 14k2 = 4 + 6k + -4 + -6k

Combine like terms: -31k + -6k = -37k
24 + -37k + 14k2 = 4 + 6k + -4 + -6k

Reorder the terms:
24 + -37k + 14k2 = 4 + -4 + 6k + -6k

Combine like terms: 4 + -4 = 0
24 + -37k + 14k2 = 0 + 6k + -6k
24 + -37k + 14k2 = 6k + -6k

Combine like terms: 6k + -6k = 0
24 + -37k + 14k2 = 0

Factor a trinomial.
(8 + -7k)(3 + -2k) = 0


Subproblem 1
Set the factor '(8 + -7k)' equal to zero and attempt to solve:

Simplifying
8 + -7k = 0

Solving
8 + -7k = 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 + -7k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7k = 0 + -8
-7k = 0 + -8

Combine like terms: 0 + -8 = -8
-7k = -8

Divide each side by '-7'.
k = 1.142857143

Simplifying
k = 1.142857143

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

Simplifying
3 + -2k = 0

Solving
3 + -2k = 0

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

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

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

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

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {1.142857143, 1.5}

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