0=4k^2-7k+3

Solution for 0=4k^2-7k+3 equation:

Simplifying
0 = 4k2 + -7k + 3

Reorder the terms:
0 = 3 + -7k + 4k2

Solving
0 = 3 + -7k + 4k2

Solving for variable 'k'.

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

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

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

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

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

Factor a trinomial.
(-1 + k)(3 + -4k) = 0

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

Simplifying
-1 + k = 0

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(3 + -4k)' equal to zero and attempt to solve:

Simplifying
3 + -4k = 0

Solving
3 + -4k = 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 + -4k = 0 + -3

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

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

Divide each side by '-4'.
k = 0.75

Simplifying
k = 0.75
Solution
k = {1, 0.75}