0=4k(3+2)-6(k+4)

Solution for 0=4k(3+2)-6(k+4) equation:

Simplifying
0 = 4k(3 + 2) + -6(k + 4)

Combine like terms: 3 + 2 = 5
0 = 4k(5) + -6(k + 4)

Reorder the terms for easier multiplication:
0 = 4 * 5k + -6(k + 4)

Multiply 4 * 5
0 = 20k + -6(k + 4)

Reorder the terms:
0 = 20k + -6(4 + k)
0 = 20k + (4 * -6 + k * -6)
0 = 20k + (-24 + -6k)

Reorder the terms:
0 = -24 + 20k + -6k

Combine like terms: 20k + -6k = 14k
0 = -24 + 14k

Solving
0 = -24 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
0 + -14k = -24 + 14k + -14k
Remove the zero:
-14k = -24 + 14k + -14k

Combine like terms: 14k + -14k = 0
-14k = -24 + 0
-14k = -24

Divide each side by '-14'.
k = 1.714285714

Simplifying
k = 1.714285714