(3h+2)(6h-5)=

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Solution for (3h+2)(6h-5)= equation: 


Simplifying
(3h + 2)(6h + -5) = 0

Reorder the terms:
(2 + 3h)(6h + -5) = 0

Reorder the terms:
(2 + 3h)(-5 + 6h) = 0

Multiply (2 + 3h) * (-5 + 6h)
(2(-5 + 6h) + 3h * (-5 + 6h)) = 0
((-5 * 2 + 6h * 2) + 3h * (-5 + 6h)) = 0
((-10 + 12h) + 3h * (-5 + 6h)) = 0
(-10 + 12h + (-5 * 3h + 6h * 3h)) = 0
(-10 + 12h + (-15h + 18h2)) = 0

Combine like terms: 12h + -15h = -3h
(-10 + -3h + 18h2) = 0

Solving
-10 + -3h + 18h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-2 + -3h)(5 + -6h) = 0


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

Simplifying
-2 + -3h = 0

Solving
-2 + -3h = 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 + -3h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3h = 0 + 2
-3h = 0 + 2

Combine like terms: 0 + 2 = 2
-3h = 2

Divide each side by '-3'.
h = -0.6666666667

Simplifying
h = -0.6666666667

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

Simplifying
5 + -6h = 0

Solving
5 + -6h = 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 + -6h = 0 + -5

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

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

Divide each side by '-6'.
h = 0.8333333333

Simplifying
h = 0.8333333333
Solution
h = {-0.6666666667, 0.8333333333}

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