2d^2+10d-2100=0

Solution for 2d^2+10d-2100=0 equation:

Simplifying
2d2 + 10d + -2100 = 0

Reorder the terms:
-2100 + 10d + 2d2 = 0

Solving
-2100 + 10d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1050 + 5d + d2) = 0

Factor a trinomial.
2((-35 + -1d)(30 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-35 + -1d)' equal to zero and attempt to solve:

Simplifying
-35 + -1d = 0

Solving
-35 + -1d = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1d = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1d = 0 + 35
-1d = 0 + 35

Combine like terms: 0 + 35 = 35
-1d = 35

Divide each side by '-1'.
d = -35

Simplifying
d = -35
Subproblem 2
Set the factor '(30 + -1d)' equal to zero and attempt to solve:

Simplifying
30 + -1d = 0

Solving
30 + -1d = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1d = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1d = 0 + -30
-1d = 0 + -30

Combine like terms: 0 + -30 = -30
-1d = -30

Divide each side by '-1'.
d = 30

Simplifying
d = 30
Solution
d = {-35, 30}