14d^2-21d-63=0

Solution for 14d^2-21d-63=0 equation:

Simplifying
14d2 + -21d + -63 = 0

Reorder the terms:
-63 + -21d + 14d2 = 0

Solving
-63 + -21d + 14d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-9 + -3d + 2d2) = 0

Factor a trinomial.
7((-3 + -2d)(3 + -1d)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-3 + -2d)' equal to zero and attempt to solve:

Simplifying
-3 + -2d = 0

Solving
-3 + -2d = 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 + -2d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2d = 0 + 3
-2d = 0 + 3

Combine like terms: 0 + 3 = 3
-2d = 3

Divide each side by '-2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
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
Solution
d = {-1.5, 3}