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

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

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

Reorder the terms:
(2 + 4h)(3h + -2) = 0

Reorder the terms:
(2 + 4h)(-2 + 3h) = 0

Multiply (2 + 4h) * (-2 + 3h)
(2(-2 + 3h) + 4h * (-2 + 3h)) = 0
((-2 * 2 + 3h * 2) + 4h * (-2 + 3h)) = 0
((-4 + 6h) + 4h * (-2 + 3h)) = 0
(-4 + 6h + (-2 * 4h + 3h * 4h)) = 0
(-4 + 6h + (-8h + 12h2)) = 0

Combine like terms: 6h + -8h = -2h
(-4 + -2h + 12h2) = 0

Solving
-4 + -2h + 12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1h + 6h2) = 0

Factor a trinomial.
2((-1 + -2h)(2 + -3h)) = 0

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

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

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

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

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(2 + -3h)' equal to zero and attempt to solve:

Simplifying
2 + -3h = 0

Solving
2 + -3h = 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 + -3h = 0 + -2

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

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

Divide each side by '-3'.
h = 0.6666666667

Simplifying
h = 0.6666666667
Solution
h = {-0.5, 0.6666666667}