(3h-5)(h+3)=0

Solution for (3h-5)(h+3)=0 equation:

Simplifying
(3h + -5)(h + 3) = 0

Reorder the terms:
(-5 + 3h)(h + 3) = 0

Reorder the terms:
(-5 + 3h)(3 + h) = 0

Multiply (-5 + 3h) * (3 + h)
(-5(3 + h) + 3h * (3 + h)) = 0
((3 * -5 + h * -5) + 3h * (3 + h)) = 0
((-15 + -5h) + 3h * (3 + h)) = 0
(-15 + -5h + (3 * 3h + h * 3h)) = 0
(-15 + -5h + (9h + 3h2)) = 0

Combine like terms: -5h + 9h = 4h
(-15 + 4h + 3h2) = 0

Solving
-15 + 4h + 3h2 = 0

Solving for variable 'h'.

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

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

Simplifying
-3 + -1h = 0

Solving
-3 + -1h = 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 + -1h = 0 + 3

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

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

Divide each side by '-1'.
h = -3

Simplifying
h = -3
Subproblem 2
Set the factor '(5 + -3h)' equal to zero and attempt to solve:

Simplifying
5 + -3h = 0

Solving
5 + -3h = 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 + -3h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3h = 0 + -5
-3h = 0 + -5

Combine like terms: 0 + -5 = -5
-3h = -5

Divide each side by '-3'.
h = 1.666666667

Simplifying
h = 1.666666667
Solution
h = {-3, 1.666666667}