(4d+3)(d-6)=

Solution for (4d+3)(d-6)= equation:

Simplifying
(4d + 3)(d + -6) = 0

Reorder the terms:
(3 + 4d)(d + -6) = 0

Reorder the terms:
(3 + 4d)(-6 + d) = 0

Multiply (3 + 4d) * (-6 + d)
(3(-6 + d) + 4d * (-6 + d)) = 0
((-6 * 3 + d * 3) + 4d * (-6 + d)) = 0
((-18 + 3d) + 4d * (-6 + d)) = 0
(-18 + 3d + (-6 * 4d + d * 4d)) = 0
(-18 + 3d + (-24d + 4d2)) = 0

Combine like terms: 3d + -24d = -21d
(-18 + -21d + 4d2) = 0

Solving
-18 + -21d + 4d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -4d)(6 + -1d) = 0

Subproblem 1
Set the factor '(-3 + -4d)' equal to zero and attempt to solve:

Simplifying
-3 + -4d = 0

Solving
-3 + -4d = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4d = 0 + 3
-4d = 0 + 3

Combine like terms: 0 + 3 = 3
-4d = 3

Divide each side by '-4'.
d = -0.75

Simplifying
d = -0.75
Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {-0.75, 6}