h*h-4h+3h*3h+2h=

Solution for h*h-4h+3h*3h+2h= equation:

Simplifying
h * h + -4h + 3h * 3h + 2h = 0

Multiply h * h
h2 + -4h + 3h * 3h + 2h = 0

Reorder the terms for easier multiplication:
h2 + -4h + 3 * 3h * h + 2h = 0

Multiply 3 * 3
h2 + -4h + 9h * h + 2h = 0

Multiply h * h
h2 + -4h + 9h2 + 2h = 0

Reorder the terms:
-4h + 2h + h2 + 9h2 = 0

Combine like terms: -4h + 2h = -2h
-2h + h2 + 9h2 = 0

Combine like terms: h2 + 9h2 = 10h2
-2h + 10h2 = 0

Solving
-2h + 10h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-1 + 5h) = 0

Ignore the factor 2.
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 '(-1 + 5h)' equal to zero and attempt to solve:

Simplifying
-1 + 5h = 0

Solving
-1 + 5h = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5h = 0 + 1
5h = 0 + 1

Combine like terms: 0 + 1 = 1
5h = 1

Divide each side by '5'.
h = 0.2

Simplifying
h = 0.2
Solution
h = {0, 0.2}