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

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

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

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

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

Multiply (7 + 2h) * (5 + 2h)
(7(5 + 2h) + 2h * (5 + 2h)) = 0
((5 * 7 + 2h * 7) + 2h * (5 + 2h)) = 0
((35 + 14h) + 2h * (5 + 2h)) = 0
(35 + 14h + (5 * 2h + 2h * 2h)) = 0
(35 + 14h + (10h + 4h2)) = 0

Combine like terms: 14h + 10h = 24h
(35 + 24h + 4h2) = 0

Solving
35 + 24h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + 2h)(5 + 2h) = 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 + 2h)' equal to zero and attempt to solve:

Simplifying
5 + 2h = 0

Solving
5 + 2h = 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 + 2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2h = 0 + -5
2h = 0 + -5

Combine like terms: 0 + -5 = -5
2h = -5

Divide each side by '2'.
h = -2.5

Simplifying
h = -2.5
Solution
h = {-3.5, -2.5}