7k^2-3k=4

Solution for 7k^2-3k=4 equation:

Simplifying
7k2 + -3k = 4

Reorder the terms:
-3k + 7k2 = 4

Solving
-3k + 7k2 = 4

Solving for variable 'k'.

Reorder the terms:
-4 + -3k + 7k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -3k + 7k2 = 0

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

Subproblem 1
Set the factor '(-4 + -7k)' equal to zero and attempt to solve:

Simplifying
-4 + -7k = 0

Solving
-4 + -7k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7k = 0 + 4
-7k = 0 + 4

Combine like terms: 0 + 4 = 4
-7k = 4

Divide each side by '-7'.
k = -0.5714285714

Simplifying
k = -0.5714285714
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 = {-0.5714285714, 1}