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

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

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

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

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

Multiply (-3 + 2h) * (4 + 3h)
(-3(4 + 3h) + 2h * (4 + 3h)) = 0
((4 * -3 + 3h * -3) + 2h * (4 + 3h)) = 0
((-12 + -9h) + 2h * (4 + 3h)) = 0
(-12 + -9h + (4 * 2h + 3h * 2h)) = 0
(-12 + -9h + (8h + 6h2)) = 0

Combine like terms: -9h + 8h = -1h
(-12 + -1h + 6h2) = 0

Solving
-12 + -1h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -3h)(3 + -2h) = 0

Subproblem 1
Set the factor '(-4 + -3h)' equal to zero and attempt to solve:

Simplifying
-4 + -3h = 0

Solving
-4 + -3h = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3h = 0 + 4
-3h = 0 + 4

Combine like terms: 0 + 4 = 4
-3h = 4

Divide each side by '-3'.
h = -1.333333333

Simplifying
h = -1.333333333
Subproblem 2
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
Solution
h = {-1.333333333, 1.5}