h^2+4h=140

Solution for h^2+4h=140 equation:

Simplifying
h2 + 4h = 140

Reorder the terms:
4h + h2 = 140

Solving
4h + h2 = 140

Solving for variable 'h'.

Reorder the terms:
-140 + 4h + h2 = 140 + -140

Combine like terms: 140 + -140 = 0
-140 + 4h + h2 = 0

Factor a trinomial.
(-14 + -1h)(10 + -1h) = 0

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

Simplifying
-14 + -1h = 0

Solving
-14 + -1h = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1h = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1h = 0 + 14
-1h = 0 + 14

Combine like terms: 0 + 14 = 14
-1h = 14

Divide each side by '-1'.
h = -14

Simplifying
h = -14
Subproblem 2
Set the factor '(10 + -1h)' equal to zero and attempt to solve:

Simplifying
10 + -1h = 0

Solving
10 + -1h = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1h = 0 + -10
-1h = 0 + -10

Combine like terms: 0 + -10 = -10
-1h = -10

Divide each side by '-1'.
h = 10

Simplifying
h = 10
Solution
h = {-14, 10}