14d^2+3d-2=0

Solution for 14d^2+3d-2=0 equation:

Simplifying
14d2 + 3d + -2 = 0

Reorder the terms:
-2 + 3d + 14d2 = 0

Solving
-2 + 3d + 14d2 = 0

Solving for variable 'd'.

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

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 '(2 + -7d)' equal to zero and attempt to solve:

Simplifying
2 + -7d = 0

Solving
2 + -7d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7d = 0 + -2
-7d = 0 + -2

Combine like terms: 0 + -2 = -2
-7d = -2

Divide each side by '-7'.
d = 0.2857142857

Simplifying
d = 0.2857142857
Solution
d = {-0.5, 0.2857142857}