42h^2+h-5=0

Solution for 42h^2+h-5=0 equation:

Simplifying
42h2 + h + -5 = 0

Reorder the terms:
-5 + h + 42h2 = 0

Solving
-5 + h + 42h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -14h)(1 + -3h) = 0

Subproblem 1
Set the factor '(-5 + -14h)' equal to zero and attempt to solve:

Simplifying
-5 + -14h = 0

Solving
-5 + -14h = 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 + -14h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -14h = 0 + 5
-14h = 0 + 5

Combine like terms: 0 + 5 = 5
-14h = 5

Divide each side by '-14'.
h = -0.3571428571

Simplifying
h = -0.3571428571
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 = {-0.3571428571, 0.3333333333}