4d^2-7d-2=0

Solution for 4d^2-7d-2=0 equation:

Simplifying
4d2 + -7d + -2 = 0

Reorder the terms:
-2 + -7d + 4d2 = 0

Solving
-2 + -7d + 4d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -4d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-1 + -4d)' equal to zero and attempt to solve:

Simplifying
-1 + -4d = 0

Solving
-1 + -4d = 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 + -4d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4d = 0 + 1
-4d = 0 + 1

Combine like terms: 0 + 1 = 1
-4d = 1

Divide each side by '-4'.
d = -0.25

Simplifying
d = -0.25
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 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 + -1d = 0 + -2

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

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

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-0.25, 2}