-15=14d^2-31d

Solution for -15=14d^2-31d equation:

Simplifying
-15 = 14d2 + -31d

Reorder the terms:
-15 = -31d + 14d2

Solving
-15 = -31d + 14d2

Solving for variable 'd'.

Reorder the terms:
-15 + 31d + -14d2 = -31d + 31d + 14d2 + -14d2

Combine like terms: -31d + 31d = 0
-15 + 31d + -14d2 = 0 + 14d2 + -14d2
-15 + 31d + -14d2 = 14d2 + -14d2

Combine like terms: 14d2 + -14d2 = 0
-15 + 31d + -14d2 = 0

Factor a trinomial.
(-3 + 2d)(5 + -7d) = 0

Subproblem 1
Set the factor '(-3 + 2d)' equal to zero and attempt to solve:

Simplifying
-3 + 2d = 0

Solving
-3 + 2d = 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 + 2d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2d = 0 + 3
2d = 0 + 3

Combine like terms: 0 + 3 = 3
2d = 3

Divide each side by '2'.
d = 1.5

Simplifying
d = 1.5
Subproblem 2
Set the factor '(5 + -7d)' equal to zero and attempt to solve:

Simplifying
5 + -7d = 0

Solving
5 + -7d = 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 + -7d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7d = 0 + -5
-7d = 0 + -5

Combine like terms: 0 + -5 = -5
-7d = -5

Divide each side by '-7'.
d = 0.7142857143

Simplifying
d = 0.7142857143
Solution
d = {1.5, 0.7142857143}