4h*-2h(h-2)=

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

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

Reorder the terms:
4h * -2h(-2 + h) = 0

Reorder the terms for easier multiplication:
4 * -2h * h(-2 + h) = 0

Multiply 4 * -2
-8h * h(-2 + h) = 0

Multiply h * h
-8h2(-2 + h) = 0
(-2 * -8h2 + h * -8h2) = 0
(16h2 + -8h3) = 0

Solving
16h2 + -8h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '8h2'.
8h2(2 + -1h) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve:

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {0, 2}