-4d(2d+3)=3(-4d-4)

Solution for -4d(2d+3)=3(-4d-4) equation:

Simplifying
-4d(2d + 3) = 3(-4d + -4)

Reorder the terms:
-4d(3 + 2d) = 3(-4d + -4)
(3 * -4d + 2d * -4d) = 3(-4d + -4)
(-12d + -8d2) = 3(-4d + -4)

Reorder the terms:
-12d + -8d2 = 3(-4 + -4d)
-12d + -8d2 = (-4 * 3 + -4d * 3)
-12d + -8d2 = (-12 + -12d)

Add '12d' to each side of the equation.
-12d + 12d + -8d2 = -12 + -12d + 12d

Combine like terms: -12d + 12d = 0
0 + -8d2 = -12 + -12d + 12d
-8d2 = -12 + -12d + 12d

Combine like terms: -12d + 12d = 0
-8d2 = -12 + 0
-8d2 = -12

Solving
-8d2 = -12

Solving for variable 'd'.

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

Divide each side by '-8'.
d2 = 1.5

Simplifying
d2 = 1.5

Take the square root of each side:
d = {-1.224744871, 1.224744871}