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

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

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

Reorder the terms:
4(3 + h) = 3h(h + -4)
(3 * 4 + h * 4) = 3h(h + -4)
(12 + 4h) = 3h(h + -4)

Reorder the terms:
12 + 4h = 3h(-4 + h)
12 + 4h = (-4 * 3h + h * 3h)
12 + 4h = (-12h + 3h2)

Solving
12 + 4h = -12h + 3h2

Solving for variable 'h'.

Combine like terms: 4h + 12h = 16h
12 + 16h + -3h2 = -12h + 3h2 + 12h + -3h2

Reorder the terms:
12 + 16h + -3h2 = -12h + 12h + 3h2 + -3h2

Combine like terms: -12h + 12h = 0
12 + 16h + -3h2 = 0 + 3h2 + -3h2
12 + 16h + -3h2 = 3h2 + -3h2

Combine like terms: 3h2 + -3h2 = 0
12 + 16h + -3h2 = 0

Factor a trinomial.
(6 + -1h)(2 + 3h) = 0

Subproblem 1
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Subproblem 2
Set the factor '(2 + 3h)' equal to zero and attempt to solve:

Simplifying
2 + 3h = 0

Solving
2 + 3h = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3h = 0 + -2
3h = 0 + -2

Combine like terms: 0 + -2 = -2
3h = -2

Divide each side by '3'.
h = -0.6666666667

Simplifying
h = -0.6666666667
Solution
h = {6, -0.6666666667}