2h^2-5h=12

Solution for 2h^2-5h=12 equation:

Simplifying
2h2 + -5h = 12

Reorder the terms:
-5h + 2h2 = 12

Solving
-5h + 2h2 = 12

Solving for variable 'h'.

Reorder the terms:
-12 + -5h + 2h2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -5h + 2h2 = 0

Factor a trinomial.
(-3 + -2h)(4 + -1h) = 0

Subproblem 1
Set the factor '(-3 + -2h)' equal to zero and attempt to solve:

Simplifying
-3 + -2h = 0

Solving
-3 + -2h = 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 + -2h = 0 + 3

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

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

Divide each side by '-2'.
h = -1.5

Simplifying
h = -1.5
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 = {-1.5, 4}