2d^2-7d-4=0

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

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

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

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

Solving for variable 'd'.

Factor a trinomial.
(-1 + -2d)(4 + -1d) = 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 '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

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

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

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {-0.5, 4}