h^2+14h-(15)=0

Solution for h^2+14h-(15)=0 equation:

Simplifying
h2 + 14h + -1(15) = 0

Multiply -1 * 15
h2 + 14h + -15 = 0

Reorder the terms:
-15 + 14h + h2 = 0

Solving
-15 + 14h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-15 + -1h)(1 + -1h) = 0

Subproblem 1
Set the factor '(-15 + -1h)' equal to zero and attempt to solve:

Simplifying
-15 + -1h = 0

Solving
-15 + -1h = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1h = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1h = 0 + 15
-1h = 0 + 15

Combine like terms: 0 + 15 = 15
-1h = 15

Divide each side by '-1'.
h = -15

Simplifying
h = -15
Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

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

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

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

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

Simplifying
h = 1
Solution
h = {-15, 1}