0=7h^2+10h+3

Solution for 0=7h^2+10h+3 equation:

Simplifying
0 = 7h2 + 10h + 3

Reorder the terms:
0 = 3 + 10h + 7h2

Solving
0 = 3 + 10h + 7h2

Solving for variable 'h'.

Combine like terms: 0 + -3 = -3
-3 + -10h + -7h2 = 3 + 10h + 7h2 + -3 + -10h + -7h2

Reorder the terms:
-3 + -10h + -7h2 = 3 + -3 + 10h + -10h + 7h2 + -7h2

Combine like terms: 3 + -3 = 0
-3 + -10h + -7h2 = 0 + 10h + -10h + 7h2 + -7h2
-3 + -10h + -7h2 = 10h + -10h + 7h2 + -7h2

Combine like terms: 10h + -10h = 0
-3 + -10h + -7h2 = 0 + 7h2 + -7h2
-3 + -10h + -7h2 = 7h2 + -7h2

Combine like terms: 7h2 + -7h2 = 0
-3 + -10h + -7h2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 10h + 7h2) = 0

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

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

Simplifying
1 + h = 0

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

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

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

Simplifying
h = -1
Subproblem 2
Set the factor '(3 + 7h)' equal to zero and attempt to solve:

Simplifying
3 + 7h = 0

Solving
3 + 7h = 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 + 7h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7h = 0 + -3
7h = 0 + -3

Combine like terms: 0 + -3 = -3
7h = -3

Divide each side by '7'.
h = -0.4285714286

Simplifying
h = -0.4285714286
Solution
h = {-1, -0.4285714286}