(-2h-6)(4h-3)=

Solution for (-2h-6)(4h-3)= equation:

Simplifying
(-2h + -6)(4h + -3) = 0

Reorder the terms:
(-6 + -2h)(4h + -3) = 0

Reorder the terms:
(-6 + -2h)(-3 + 4h) = 0

Multiply (-6 + -2h) * (-3 + 4h)
(-6(-3 + 4h) + -2h * (-3 + 4h)) = 0
((-3 * -6 + 4h * -6) + -2h * (-3 + 4h)) = 0
((18 + -24h) + -2h * (-3 + 4h)) = 0
(18 + -24h + (-3 * -2h + 4h * -2h)) = 0
(18 + -24h + (6h + -8h2)) = 0

Combine like terms: -24h + 6h = -18h
(18 + -18h + -8h2) = 0

Solving
18 + -18h + -8h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -9h + -4h2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -4h)' equal to zero and attempt to solve:

Simplifying
3 + -4h = 0

Solving
3 + -4h = 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 + -4h = 0 + -3

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

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

Divide each side by '-4'.
h = 0.75

Simplifying
h = 0.75
Subproblem 2
Set the factor '(3 + h)' equal to zero and attempt to solve:

Simplifying
3 + h = 0

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

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

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

Simplifying
h = -3
Solution
h = {0.75, -3}