d^2+42d=0

Solution for d^2+42d=0 equation:

Simplifying
d2 + 42d = 0

Reorder the terms:
42d + d2 = 0

Solving
42d + d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(42 + d) = 0

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0
Subproblem 2
Set the factor '(42 + d)' equal to zero and attempt to solve:

Simplifying
42 + d = 0

Solving
42 + d = 0

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

Add '-42' to each side of the equation.
42 + -42 + d = 0 + -42

Combine like terms: 42 + -42 = 0
0 + d = 0 + -42
d = 0 + -42

Combine like terms: 0 + -42 = -42
d = -42

Simplifying
d = -42
Solution
d = {0, -42}