12d^2-14d-10=0

Solution for 12d^2-14d-10=0 equation:

Simplifying
12d2 + -14d + -10 = 0

Reorder the terms:
-10 + -14d + 12d2 = 0

Solving
-10 + -14d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -7d + 6d2) = 0

Factor a trinomial.
2((-1 + -2d)(5 + -3d)) = 0

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

Simplifying
-1 + -2d = 0

Solving
-1 + -2d = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2d = 0 + 1
-2d = 0 + 1

Combine like terms: 0 + 1 = 1
-2d = 1

Divide each side by '-2'.
d = -0.5

Simplifying
d = -0.5
Subproblem 2
Set the factor '(5 + -3d)' equal to zero and attempt to solve:

Simplifying
5 + -3d = 0

Solving
5 + -3d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3d = 0 + -5
-3d = 0 + -5

Combine like terms: 0 + -5 = -5
-3d = -5

Divide each side by '-3'.
d = 1.666666667

Simplifying
d = 1.666666667
Solution
d = {-0.5, 1.666666667}