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

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

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

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

Multiply (8 + -3d) * (8 + 3d)
(8(8 + 3d) + -3d * (8 + 3d)) = 0
((8 * 8 + 3d * 8) + -3d * (8 + 3d)) = 0
((64 + 24d) + -3d * (8 + 3d)) = 0
(64 + 24d + (8 * -3d + 3d * -3d)) = 0
(64 + 24d + (-24d + -9d2)) = 0

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

Solving
64 + -9d2 = 0

Solving for variable 'd'.

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

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

Combine like terms: 64 + -64 = 0
0 + -9d2 = 0 + -64
-9d2 = 0 + -64

Combine like terms: 0 + -64 = -64
-9d2 = -64

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

Simplifying
d2 = 7.111111111

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