(8h+3d)(8h-3d)=

Solution for (8h+3d)(8h-3d)= equation:

Simplifying
(8h + 3d)(8h + -3d) = 0

Reorder the terms:
(3d + 8h)(8h + -3d) = 0

Reorder the terms:
(3d + 8h)(-3d + 8h) = 0

Multiply (3d + 8h) * (-3d + 8h)
(3d * (-3d + 8h) + 8h * (-3d + 8h)) = 0
((-3d * 3d + 8h * 3d) + 8h * (-3d + 8h)) = 0

Reorder the terms:
((24dh + -9d2) + 8h * (-3d + 8h)) = 0
((24dh + -9d2) + 8h * (-3d + 8h)) = 0
(24dh + -9d2 + (-3d * 8h + 8h * 8h)) = 0
(24dh + -9d2 + (-24dh + 64h2)) = 0

Reorder the terms:
(24dh + -24dh + -9d2 + 64h2) = 0

Combine like terms: 24dh + -24dh = 0
(0 + -9d2 + 64h2) = 0
(-9d2 + 64h2) = 0

Solving
-9d2 + 64h2 = 0

Solving for variable 'd'.

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

Add '-64h2' to each side of the equation.
-9d2 + 64h2 + -64h2 = 0 + -64h2

Combine like terms: 64h2 + -64h2 = 0
-9d2 + 0 = 0 + -64h2
-9d2 = 0 + -64h2
Remove the zero:
-9d2 = -64h2

Divide each side by '-9'.
d2 = 7.111111111h2

Simplifying
d2 = 7.111111111h2

Take the square root of each side:
d = {-2.666666667h, 2.666666667h}