(2h+3)(3h-1)=

Solution for (2h+3)(3h-1)= equation:

Simplifying
(2h + 3)(3h + -1) = 0

Reorder the terms:
(3 + 2h)(3h + -1) = 0

Reorder the terms:
(3 + 2h)(-1 + 3h) = 0

Multiply (3 + 2h) * (-1 + 3h)
(3(-1 + 3h) + 2h * (-1 + 3h)) = 0
((-1 * 3 + 3h * 3) + 2h * (-1 + 3h)) = 0
((-3 + 9h) + 2h * (-1 + 3h)) = 0
(-3 + 9h + (-1 * 2h + 3h * 2h)) = 0
(-3 + 9h + (-2h + 6h2)) = 0

Combine like terms: 9h + -2h = 7h
(-3 + 7h + 6h2) = 0

Solving
-3 + 7h + 6h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -3h)' equal to zero and attempt to solve:

Simplifying
1 + -3h = 0

Solving
1 + -3h = 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 + -3h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3h = 0 + -1
-3h = 0 + -1

Combine like terms: 0 + -1 = -1
-3h = -1

Divide each side by '-3'.
h = 0.3333333333

Simplifying
h = 0.3333333333
Solution
h = {-1.5, 0.3333333333}