(5h-6)(5h+2)=

Solution for (5h-6)(5h+2)= equation:

Simplifying
(5h + -6)(5h + 2) = 0

Reorder the terms:
(-6 + 5h)(5h + 2) = 0

Reorder the terms:
(-6 + 5h)(2 + 5h) = 0

Multiply (-6 + 5h) * (2 + 5h)
(-6(2 + 5h) + 5h * (2 + 5h)) = 0
((2 * -6 + 5h * -6) + 5h * (2 + 5h)) = 0
((-12 + -30h) + 5h * (2 + 5h)) = 0
(-12 + -30h + (2 * 5h + 5h * 5h)) = 0
(-12 + -30h + (10h + 25h2)) = 0

Combine like terms: -30h + 10h = -20h
(-12 + -20h + 25h2) = 0

Solving
-12 + -20h + 25h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-2 + -5h)(6 + -5h) = 0

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 '(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 = {-0.4, 1.2}