6h^2+26h-2=-10

Solution for 6h^2+26h-2=-10 equation:

Simplifying
6h2 + 26h + -2 = -10

Reorder the terms:
-2 + 26h + 6h2 = -10

Solving
-2 + 26h + 6h2 = -10

Solving for variable 'h'.

Reorder the terms:
-2 + 10 + 26h + 6h2 = -10 + 10

Combine like terms: -2 + 10 = 8
8 + 26h + 6h2 = -10 + 10

Combine like terms: -10 + 10 = 0
8 + 26h + 6h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13h + 3h2) = 0

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

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

Simplifying
1 + 3h = 0

Solving
1 + 3h = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3h = 0 + -1

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

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

Divide each side by '3'.
h = -0.3333333333

Simplifying
h = -0.3333333333
Solution
h = {-4, -0.3333333333}