(3d+10)(d-1)=0

Solution for (3d+10)(d-1)=0 equation:

Simplifying
(3d + 10)(d + -1) = 0

Reorder the terms:
(10 + 3d)(d + -1) = 0

Reorder the terms:
(10 + 3d)(-1 + d) = 0

Multiply (10 + 3d) * (-1 + d)
(10(-1 + d) + 3d * (-1 + d)) = 0
((-1 * 10 + d * 10) + 3d * (-1 + d)) = 0
((-10 + 10d) + 3d * (-1 + d)) = 0
(-10 + 10d + (-1 * 3d + d * 3d)) = 0
(-10 + 10d + (-3d + 3d2)) = 0

Combine like terms: 10d + -3d = 7d
(-10 + 7d + 3d2) = 0

Solving
-10 + 7d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-10 + -3d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-10 + -3d)' equal to zero and attempt to solve:

Simplifying
-10 + -3d = 0

Solving
-10 + -3d = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3d = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3d = 0 + 10
-3d = 0 + 10

Combine like terms: 0 + 10 = 10
-3d = 10

Divide each side by '-3'.
d = -3.333333333

Simplifying
d = -3.333333333
Subproblem 2
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
Solution
d = {-3.333333333, 1}