6h^2-25h+21=

Solution for 6h^2-25h+21= equation:

Simplifying
6h2 + -25h + 21 = 0

Reorder the terms:
21 + -25h + 6h2 = 0

Solving
21 + -25h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + -6h)(3 + -1h) = 0

Subproblem 1
Set the factor '(7 + -6h)' equal to zero and attempt to solve:

Simplifying
7 + -6h = 0

Solving
7 + -6h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6h = 0 + -7
-6h = 0 + -7

Combine like terms: 0 + -7 = -7
-6h = -7

Divide each side by '-6'.
h = 1.166666667

Simplifying
h = 1.166666667
Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 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 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {1.166666667, 3}