2d^2-14d-1176=0

Solution for 2d^2-14d-1176=0 equation:

Simplifying
2d2 + -14d + -1176 = 0

Reorder the terms:
-1176 + -14d + 2d2 = 0

Solving
-1176 + -14d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-588 + -7d + d2) = 0

Factor a trinomial.
2((-21 + -1d)(28 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-21 + -1d)' equal to zero and attempt to solve:

Simplifying
-21 + -1d = 0

Solving
-21 + -1d = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1d = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1d = 0 + 21
-1d = 0 + 21

Combine like terms: 0 + 21 = 21
-1d = 21

Divide each side by '-1'.
d = -21

Simplifying
d = -21
Subproblem 2
Set the factor '(28 + -1d)' equal to zero and attempt to solve:

Simplifying
28 + -1d = 0

Solving
28 + -1d = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1d = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1d = 0 + -28
-1d = 0 + -28

Combine like terms: 0 + -28 = -28
-1d = -28

Divide each side by '-1'.
d = 28

Simplifying
d = 28
Solution
d = {-21, 28}