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

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

Simplifying
3(4d + 3)(4d + -3) = 0

Reorder the terms:
3(3 + 4d)(4d + -3) = 0

Reorder the terms:
3(3 + 4d)(-3 + 4d) = 0

Multiply (3 + 4d) * (-3 + 4d)
3(3(-3 + 4d) + 4d * (-3 + 4d)) = 0
3((-3 * 3 + 4d * 3) + 4d * (-3 + 4d)) = 0
3((-9 + 12d) + 4d * (-3 + 4d)) = 0
3(-9 + 12d + (-3 * 4d + 4d * 4d)) = 0
3(-9 + 12d + (-12d + 16d2)) = 0

Combine like terms: 12d + -12d = 0
3(-9 + 0 + 16d2) = 0
3(-9 + 16d2) = 0
(-9 * 3 + 16d2 * 3) = 0
(-27 + 48d2) = 0

Solving
-27 + 48d2 = 0

Solving for variable 'd'.

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

Add '27' to each side of the equation.
-27 + 27 + 48d2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 48d2 = 0 + 27
48d2 = 0 + 27

Combine like terms: 0 + 27 = 27
48d2 = 27

Divide each side by '48'.
d2 = 0.5625

Simplifying
d2 = 0.5625

Take the square root of each side:
d = {-0.75, 0.75}