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

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

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

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

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

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

Combine like terms: -12h + 1h = -11h
(-4 + -11h + 3h2) = 0

Solving
-4 + -11h + 3h2 = 0

Solving for variable 'h'.

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

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

Simplifying
4 + -1h = 0

Solving
4 + -1h = 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 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-0.3333333333, 4}