4h(2h-3)=

Solution for 4h(2h-3)= equation:

Simplifying
4h(2h + -3) = 0

Reorder the terms:
4h(-3 + 2h) = 0
(-3 * 4h + 2h * 4h) = 0
(-12h + 8h2) = 0

Solving
-12h + 8h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4h'.
4h(-3 + 2h) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

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

Simplifying
-3 + 2h = 0

Solving
-3 + 2h = 0

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

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

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

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

Divide each side by '2'.
h = 1.5

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