(3h-3)(4h-5)=

Solution for (3h-3)(4h-5)= equation:

Simplifying
(3h + -3)(4h + -5) = 0

Reorder the terms:
(-3 + 3h)(4h + -5) = 0

Reorder the terms:
(-3 + 3h)(-5 + 4h) = 0

Multiply (-3 + 3h) * (-5 + 4h)
(-3(-5 + 4h) + 3h * (-5 + 4h)) = 0
((-5 * -3 + 4h * -3) + 3h * (-5 + 4h)) = 0
((15 + -12h) + 3h * (-5 + 4h)) = 0
(15 + -12h + (-5 * 3h + 4h * 3h)) = 0
(15 + -12h + (-15h + 12h2)) = 0

Combine like terms: -12h + -15h = -27h
(15 + -27h + 12h2) = 0

Solving
15 + -27h + 12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9h + 4h2) = 0

Factor a trinomial.
3((1 + -1h)(5 + -4h)) = 0

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

Simplifying
1 + -1h = 0

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

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

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

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

Simplifying
h = 1
Subproblem 2
Set the factor '(5 + -4h)' equal to zero and attempt to solve:

Simplifying
5 + -4h = 0

Solving
5 + -4h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4h = 0 + -5
-4h = 0 + -5

Combine like terms: 0 + -5 = -5
-4h = -5

Divide each side by '-4'.
h = 1.25

Simplifying
h = 1.25
Solution
h = {1, 1.25}