6ds^2-28ds+16d=0

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Solution for 6ds^2-28ds+16d=0 equation:


Simplifying
6ds2 + -28ds + 16d = 0

Reorder the terms:
16d + -28ds + 6ds2 = 0

Solving
16d + -28ds + 6ds2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), '2d'.
2d(8 + -14s + 3s2) = 0

Factor a trinomial.
2d((2 + -3s)(4 + -1s)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

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

Simplifying
2 + -3s = 0

Solving
2 + -3s = 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 + -3s = 0 + -2

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

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

Add '3s' to each side of the equation.
-3s + 3s = -2 + 3s

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

Simplifying
0 = -2 + 3s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 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 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Add 's' to each side of the equation.
-1s + s = -4 + s

Combine like terms: -1s + s = 0
0 = -4 + s

Simplifying
0 = -4 + s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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