30d^2+7d-15=0

Solution for 30d^2+7d-15=0 equation:

Simplifying
30d2 + 7d + -15 = 0

Reorder the terms:
-15 + 7d + 30d2 = 0

Solving
-15 + 7d + 30d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -6d)(3 + -5d) = 0

Subproblem 1
Set the factor '(-5 + -6d)' equal to zero and attempt to solve:

Simplifying
-5 + -6d = 0

Solving
-5 + -6d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6d = 0 + 5
-6d = 0 + 5

Combine like terms: 0 + 5 = 5
-6d = 5

Divide each side by '-6'.
d = -0.8333333333

Simplifying
d = -0.8333333333
Subproblem 2
Set the factor '(3 + -5d)' equal to zero and attempt to solve:

Simplifying
3 + -5d = 0

Solving
3 + -5d = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5d = 0 + -3
-5d = 0 + -3

Combine like terms: 0 + -3 = -3
-5d = -3

Divide each side by '-5'.
d = 0.6

Simplifying
d = 0.6
Solution
d = {-0.8333333333, 0.6}