2h^2+4h+4=340

Solution for 2h^2+4h+4=340 equation:

Simplifying
2h2 + 4h + 4 = 340

Reorder the terms:
4 + 4h + 2h2 = 340

Solving
4 + 4h + 2h2 = 340

Solving for variable 'h'.

Reorder the terms:
4 + -340 + 4h + 2h2 = 340 + -340

Combine like terms: 4 + -340 = -336
-336 + 4h + 2h2 = 340 + -340

Combine like terms: 340 + -340 = 0
-336 + 4h + 2h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-168 + 2h + h2) = 0

Factor a trinomial.
2((-14 + -1h)(12 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-14 + -1h)' equal to zero and attempt to solve:

Simplifying
-14 + -1h = 0

Solving
-14 + -1h = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1h = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1h = 0 + 14
-1h = 0 + 14

Combine like terms: 0 + 14 = 14
-1h = 14

Divide each side by '-1'.
h = -14

Simplifying
h = -14
Subproblem 2
Set the factor '(12 + -1h)' equal to zero and attempt to solve:

Simplifying
12 + -1h = 0

Solving
12 + -1h = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1h = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1h = 0 + -12
-1h = 0 + -12

Combine like terms: 0 + -12 = -12
-1h = -12

Divide each side by '-1'.
h = 12

Simplifying
h = 12
Solution
h = {-14, 12}