2(4-5h)=3h^2

Solution for 2(4-5h)=3h^2 equation:

Simplifying
2(4 + -5h) = 3h2
(4 * 2 + -5h * 2) = 3h2
(8 + -10h) = 3h2

Solving
8 + -10h = 3h2

Solving for variable 'h'.

Combine like terms: 3h2 + -3h2 = 0
8 + -10h + -3h2 = 0

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

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

Simplifying
4 + h = 0

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

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

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

Simplifying
h = -4
Solution
h = {0.6666666667, -4}