(5h+2)(3h-3)=

Solution for (5h+2)(3h-3)= equation:

Simplifying
(5h + 2)(3h + -3) = 0

Reorder the terms:
(2 + 5h)(3h + -3) = 0

Reorder the terms:
(2 + 5h)(-3 + 3h) = 0

Multiply (2 + 5h) * (-3 + 3h)
(2(-3 + 3h) + 5h * (-3 + 3h)) = 0
((-3 * 2 + 3h * 2) + 5h * (-3 + 3h)) = 0
((-6 + 6h) + 5h * (-3 + 3h)) = 0
(-6 + 6h + (-3 * 5h + 3h * 5h)) = 0
(-6 + 6h + (-15h + 15h2)) = 0

Combine like terms: 6h + -15h = -9h
(-6 + -9h + 15h2) = 0

Solving
-6 + -9h + 15h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -3h + 5h2) = 0

Factor a trinomial.
3((-2 + -5h)(1 + -1h)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -5h)' equal to zero and attempt to solve:

Simplifying
-2 + -5h = 0

Solving
-2 + -5h = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5h = 0 + 2
-5h = 0 + 2

Combine like terms: 0 + 2 = 2
-5h = 2

Divide each side by '-5'.
h = -0.4

Simplifying
h = -0.4
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 = {-0.4, 1}