7(2s^2-3s)=0

Solution for 7(2s^2-3s)=0 equation:

Simplifying
7(2s2 + -3s) = 0

Reorder the terms:
7(-3s + 2s2) = 0
(-3s * 7 + 2s2 * 7) = 0
(-21s + 14s2) = 0

Solving
-21s + 14s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '7s'.
7s(-3 + 2s) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-3 + 2s)' equal to zero and attempt to solve:

Simplifying
-3 + 2s = 0

Solving
-3 + 2s = 0

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

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

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

Combine like terms: 0 + 3 = 3
2s = 3

Divide each side by '2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {0, 1.5}