(6h+5)(h-1)=-3

Solution for (6h+5)(h-1)=-3 equation:

Simplifying
(6h + 5)(h + -1) = -3

Reorder the terms:
(5 + 6h)(h + -1) = -3

Reorder the terms:
(5 + 6h)(-1 + h) = -3

Multiply (5 + 6h) * (-1 + h)
(5(-1 + h) + 6h * (-1 + h)) = -3
((-1 * 5 + h * 5) + 6h * (-1 + h)) = -3
((-5 + 5h) + 6h * (-1 + h)) = -3
(-5 + 5h + (-1 * 6h + h * 6h)) = -3
(-5 + 5h + (-6h + 6h2)) = -3

Combine like terms: 5h + -6h = -1h
(-5 + -1h + 6h2) = -3

Solving
-5 + -1h + 6h2 = -3

Solving for variable 'h'.

Reorder the terms:
-5 + 3 + -1h + 6h2 = -3 + 3

Combine like terms: -5 + 3 = -2
-2 + -1h + 6h2 = -3 + 3

Combine like terms: -3 + 3 = 0
-2 + -1h + 6h2 = 0

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

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

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2h = 0 + 1
-2h = 0 + 1

Combine like terms: 0 + 1 = 1
-2h = 1

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
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
Solution
h = {-0.5, 0.6666666667}