6d^2=20-7d

Solution for 6d^2=20-7d equation:

Simplifying
6d2 = 20 + -7d

Solving
6d2 = 20 + -7d

Solving for variable 'd'.

Reorder the terms:
-20 + 7d + 6d2 = 20 + -7d + -20 + 7d

Reorder the terms:
-20 + 7d + 6d2 = 20 + -20 + -7d + 7d

Combine like terms: 20 + -20 = 0
-20 + 7d + 6d2 = 0 + -7d + 7d
-20 + 7d + 6d2 = -7d + 7d

Combine like terms: -7d + 7d = 0
-20 + 7d + 6d2 = 0

Factor a trinomial.
(-5 + -2d)(4 + -3d) = 0

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

Simplifying
-5 + -2d = 0

Solving
-5 + -2d = 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 + -2d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2d = 0 + 5
-2d = 0 + 5

Combine like terms: 0 + 5 = 5
-2d = 5

Divide each side by '-2'.
d = -2.5

Simplifying
d = -2.5
Subproblem 2
Set the factor '(4 + -3d)' equal to zero and attempt to solve:

Simplifying
4 + -3d = 0

Solving
4 + -3d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3d = 0 + -4
-3d = 0 + -4

Combine like terms: 0 + -4 = -4
-3d = -4

Divide each side by '-3'.
d = 1.333333333

Simplifying
d = 1.333333333
Solution
d = {-2.5, 1.333333333}