(d+1)(4d-6)=0

Solution for (d+1)(4d-6)=0 equation:

Simplifying
(d + 1)(4d + -6) = 0

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

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

Multiply (1 + d) * (-6 + 4d)
(1(-6 + 4d) + d(-6 + 4d)) = 0
((-6 * 1 + 4d * 1) + d(-6 + 4d)) = 0
((-6 + 4d) + d(-6 + 4d)) = 0
(-6 + 4d + (-6 * d + 4d * d)) = 0
(-6 + 4d + (-6d + 4d2)) = 0

Combine like terms: 4d + -6d = -2d
(-6 + -2d + 4d2) = 0

Solving
-6 + -2d + 4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1d + 2d2) = 0

Factor a trinomial.
2((-1 + -1d)(3 + -2d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -1d)' equal to zero and attempt to solve:

Simplifying
-1 + -1d = 0

Solving
-1 + -1d = 0

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

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

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

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

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

Simplifying
d = -1
Subproblem 2
Set the factor '(3 + -2d)' equal to zero and attempt to solve:

Simplifying
3 + -2d = 0

Solving
3 + -2d = 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 + -2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3

Combine like terms: 0 + -3 = -3
-2d = -3

Divide each side by '-2'.
d = 1.5

Simplifying
d = 1.5
Solution
d = {-1, 1.5}