2d^2+30d-68=

Solution for 2d^2+30d-68= equation:

Simplifying
2d2 + 30d + -68 = 0

Reorder the terms:
-68 + 30d + 2d2 = 0

Solving
-68 + 30d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-34 + 15d + d2) = 0

Factor a trinomial.
2((-17 + -1d)(2 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-17 + -1d)' equal to zero and attempt to solve:

Simplifying
-17 + -1d = 0

Solving
-17 + -1d = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1d = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1d = 0 + 17
-1d = 0 + 17

Combine like terms: 0 + 17 = 17
-1d = 17

Divide each side by '-1'.
d = -17

Simplifying
d = -17
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 = {-17, 2}