(-5h+7)(2h+3)=

Solution for (-5h+7)(2h+3)= equation:

Simplifying
(-5h + 7)(2h + 3) = 0

Reorder the terms:
(7 + -5h)(2h + 3) = 0

Reorder the terms:
(7 + -5h)(3 + 2h) = 0

Multiply (7 + -5h) * (3 + 2h)
(7(3 + 2h) + -5h * (3 + 2h)) = 0
((3 * 7 + 2h * 7) + -5h * (3 + 2h)) = 0
((21 + 14h) + -5h * (3 + 2h)) = 0
(21 + 14h + (3 * -5h + 2h * -5h)) = 0
(21 + 14h + (-15h + -10h2)) = 0

Combine like terms: 14h + -15h = -1h
(21 + -1h + -10h2) = 0

Solving
21 + -1h + -10h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + -5h)(3 + 2h) = 0

Subproblem 1
Set the factor '(7 + -5h)' equal to zero and attempt to solve:

Simplifying
7 + -5h = 0

Solving
7 + -5h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5h = 0 + -7
-5h = 0 + -7

Combine like terms: 0 + -7 = -7
-5h = -7

Divide each side by '-5'.
h = 1.4

Simplifying
h = 1.4
Subproblem 2
Set the factor '(3 + 2h)' equal to zero and attempt to solve:

Simplifying
3 + 2h = 0

Solving
3 + 2h = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2h = 0 + -3

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

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

Divide each side by '2'.
h = -1.5

Simplifying
h = -1.5
Solution
h = {1.4, -1.5}