2d^2+3d-77=0

Solution for 2d^2+3d-77=0 equation:

Simplifying
2d2 + 3d + -77 = 0

Reorder the terms:
-77 + 3d + 2d2 = 0

Solving
-77 + 3d + 2d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-7 + -1d)(11 + -2d) = 0

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

Simplifying
-7 + -1d = 0

Solving
-7 + -1d = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1d = 0 + 7
-1d = 0 + 7

Combine like terms: 0 + 7 = 7
-1d = 7

Divide each side by '-1'.
d = -7

Simplifying
d = -7
Subproblem 2
Set the factor '(11 + -2d)' equal to zero and attempt to solve:

Simplifying
11 + -2d = 0

Solving
11 + -2d = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2d = 0 + -11
-2d = 0 + -11

Combine like terms: 0 + -11 = -11
-2d = -11

Divide each side by '-2'.
d = 5.5

Simplifying
d = 5.5
Solution
d = {-7, 5.5}