10d^2+44d-30=

Solution for 10d^2+44d-30= equation:

Simplifying
10d2 + 44d + -30 = 0

Reorder the terms:
-30 + 44d + 10d2 = 0

Solving
-30 + 44d + 10d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 22d + 5d2) = 0

Factor a trinomial.
2((-5 + -1d)(3 + -5d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1d)' equal to zero and attempt to solve:

Simplifying
-5 + -1d = 0

Solving
-5 + -1d = 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 + -1d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1d = 0 + 5
-1d = 0 + 5

Combine like terms: 0 + 5 = 5
-1d = 5

Divide each side by '-1'.
d = -5

Simplifying
d = -5
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 = {-5, 0.6}