4h(7h+5)+h(4h+3)=

Solution for 4h(7h+5)+h(4h+3)= equation:

Simplifying
4h(7h + 5) + h(4h + 3) = 0

Reorder the terms:
4h(5 + 7h) + h(4h + 3) = 0
(5 * 4h + 7h * 4h) + h(4h + 3) = 0
(20h + 28h2) + h(4h + 3) = 0

Reorder the terms:
20h + 28h2 + h(3 + 4h) = 0
20h + 28h2 + (3 * h + 4h * h) = 0
20h + 28h2 + (3h + 4h2) = 0

Reorder the terms:
20h + 3h + 28h2 + 4h2 = 0

Combine like terms: 20h + 3h = 23h
23h + 28h2 + 4h2 = 0

Combine like terms: 28h2 + 4h2 = 32h2
23h + 32h2 = 0

Solving
23h + 32h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(23 + 32h) = 0

Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(23 + 32h)' equal to zero and attempt to solve:

Simplifying
23 + 32h = 0

Solving
23 + 32h = 0

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

Add '-23' to each side of the equation.
23 + -23 + 32h = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 32h = 0 + -23
32h = 0 + -23

Combine like terms: 0 + -23 = -23
32h = -23

Divide each side by '32'.
h = -0.71875

Simplifying
h = -0.71875
Solution
h = {0, -0.71875}