(5h-5)(5h-6)=

Solution for (5h-5)(5h-6)= equation:

Simplifying
(5h + -5)(5h + -6) = 0

Reorder the terms:
(-5 + 5h)(5h + -6) = 0

Reorder the terms:
(-5 + 5h)(-6 + 5h) = 0

Multiply (-5 + 5h) * (-6 + 5h)
(-5(-6 + 5h) + 5h * (-6 + 5h)) = 0
((-6 * -5 + 5h * -5) + 5h * (-6 + 5h)) = 0
((30 + -25h) + 5h * (-6 + 5h)) = 0
(30 + -25h + (-6 * 5h + 5h * 5h)) = 0
(30 + -25h + (-30h + 25h2)) = 0

Combine like terms: -25h + -30h = -55h
(30 + -55h + 25h2) = 0

Solving
30 + -55h + 25h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -11h + 5h2) = 0

Factor a trinomial.
5((1 + -1h)(6 + -5h)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5h)' equal to zero and attempt to solve:

Simplifying
6 + -5h = 0

Solving
6 + -5h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5h = 0 + -6
-5h = 0 + -6

Combine like terms: 0 + -6 = -6
-5h = -6

Divide each side by '-5'.
h = 1.2

Simplifying
h = 1.2
Solution
h = {1, 1.2}