2k(2k-7)=0

Solution for 2k(2k-7)=0 equation:

Simplifying
2k(2k + -7) = 0

Reorder the terms:
2k(-7 + 2k) = 0
(-7 * 2k + 2k * 2k) = 0
(-14k + 4k2) = 0

Solving
-14k + 4k2 = 0

Solving for variable 'k'.

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

Ignore the factor 2.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-7 + 2k)' equal to zero and attempt to solve:

Simplifying
-7 + 2k = 0

Solving
-7 + 2k = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2k = 0 + 7
2k = 0 + 7

Combine like terms: 0 + 7 = 7
2k = 7

Divide each side by '2'.
k = 3.5

Simplifying
k = 3.5
Solution
k = {0, 3.5}