(3h-1)(4h+3)=0

Solution for (3h-1)(4h+3)=0 equation:

Simplifying
(3h + -1)(4h + 3) = 0

Reorder the terms:
(-1 + 3h)(4h + 3) = 0

Reorder the terms:
(-1 + 3h)(3 + 4h) = 0

Multiply (-1 + 3h) * (3 + 4h)
(-1(3 + 4h) + 3h * (3 + 4h)) = 0
((3 * -1 + 4h * -1) + 3h * (3 + 4h)) = 0
((-3 + -4h) + 3h * (3 + 4h)) = 0
(-3 + -4h + (3 * 3h + 4h * 3h)) = 0
(-3 + -4h + (9h + 12h2)) = 0

Combine like terms: -4h + 9h = 5h
(-3 + 5h + 12h2) = 0

Solving
-3 + 5h + 12h2 = 0

Solving for variable 'h'.

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

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 '(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 = {-0.75, 0.3333333333}