6h^2+23h-35=

Solution for 6h^2+23h-35= equation:

Simplifying
6h2 + 23h + -35 = 0

Reorder the terms:
-35 + 23h + 6h2 = 0

Solving
-35 + 23h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(7 + -6h) = 0

Subproblem 1
Set the factor '(-5 + -1h)' equal to zero and attempt to solve:

Simplifying
-5 + -1h = 0

Solving
-5 + -1h = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1h = 0 + 5
-1h = 0 + 5

Combine like terms: 0 + 5 = 5
-1h = 5

Divide each side by '-1'.
h = -5

Simplifying
h = -5
Subproblem 2
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
Solution
h = {-5, 1.166666667}