(2h+7)(4h-5)=

Solution for (2h+7)(4h-5)= equation:

Simplifying
(2h + 7)(4h + -5) = 0

Reorder the terms:
(7 + 2h)(4h + -5) = 0

Reorder the terms:
(7 + 2h)(-5 + 4h) = 0

Multiply (7 + 2h) * (-5 + 4h)
(7(-5 + 4h) + 2h * (-5 + 4h)) = 0
((-5 * 7 + 4h * 7) + 2h * (-5 + 4h)) = 0
((-35 + 28h) + 2h * (-5 + 4h)) = 0
(-35 + 28h + (-5 * 2h + 4h * 2h)) = 0
(-35 + 28h + (-10h + 8h2)) = 0

Combine like terms: 28h + -10h = 18h
(-35 + 18h + 8h2) = 0

Solving
-35 + 18h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-7 + -2h)(5 + -4h) = 0

Subproblem 1
Set the factor '(-7 + -2h)' equal to zero and attempt to solve:

Simplifying
-7 + -2h = 0

Solving
-7 + -2h = 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 + -2h = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2h = 0 + 7
-2h = 0 + 7

Combine like terms: 0 + 7 = 7
-2h = 7

Divide each side by '-2'.
h = -3.5

Simplifying
h = -3.5
Subproblem 2
Set the factor '(5 + -4h)' equal to zero and attempt to solve:

Simplifying
5 + -4h = 0

Solving
5 + -4h = 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 + -4h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4h = 0 + -5
-4h = 0 + -5

Combine like terms: 0 + -5 = -5
-4h = -5

Divide each side by '-4'.
h = 1.25

Simplifying
h = 1.25
Solution
h = {-3.5, 1.25}