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

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

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

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

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

Multiply (4 + -4h) * (4 + 3h)
(4(4 + 3h) + -4h * (4 + 3h)) = 0
((4 * 4 + 3h * 4) + -4h * (4 + 3h)) = 0
((16 + 12h) + -4h * (4 + 3h)) = 0
(16 + 12h + (4 * -4h + 3h * -4h)) = 0
(16 + 12h + (-16h + -12h2)) = 0

Combine like terms: 12h + -16h = -4h
(16 + -4h + -12h2) = 0

Solving
16 + -4h + -12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -1h + -3h2) = 0

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

Ignore the factor 4.
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 '(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
Solution
h = {1, -1.333333333}