(d-3)(d-10)=

Solution for (d-3)(d-10)= equation:

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

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

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

Multiply (-3 + d) * (-10 + d)
(-3(-10 + d) + d(-10 + d)) = 0
((-10 * -3 + d * -3) + d(-10 + d)) = 0
((30 + -3d) + d(-10 + d)) = 0
(30 + -3d + (-10 * d + d * d)) = 0
(30 + -3d + (-10d + d2)) = 0

Combine like terms: -3d + -10d = -13d
(30 + -13d + d2) = 0

Solving
30 + -13d + d2 = 0

Solving for variable 'd'.

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

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

Simplifying
3 + -1d = 0

Solving
3 + -1d = 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 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Subproblem 2
Set the factor '(10 + -1d)' equal to zero and attempt to solve:

Simplifying
10 + -1d = 0

Solving
10 + -1d = 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 + -1d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1d = 0 + -10
-1d = 0 + -10

Combine like terms: 0 + -10 = -10
-1d = -10

Divide each side by '-1'.
d = 10

Simplifying
d = 10
Solution
d = {3, 10}