12ds^2-22ds-10d=0

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Solution for 12ds^2-22ds-10d=0 equation:


Simplifying
12ds2 + -22ds + -10d = 0

Reorder the terms:
-10d + -22ds + 12ds2 = 0

Solving
-10d + -22ds + 12ds2 = 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(-5 + -11s + 6s2) = 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 '(-5 + -11s + 6s2)' equal to zero and attempt to solve: Simplifying -5 + -11s + 6s2 = 0 Solving -5 + -11s + 6s2 = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -11s + 5 + 6s2 = 0 + 5 Reorder the terms: -5 + 5 + -11s + 6s2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11s + 6s2 = 0 + 5 -11s + 6s2 = 0 + 5 Combine like terms: 0 + 5 = 5 -11s + 6s2 = 5 Add '11s' to each side of the equation. -11s + 11s + 6s2 = 5 + 11s Combine like terms: -11s + 11s = 0 0 + 6s2 = 5 + 11s 6s2 = 5 + 11s Add '-6s2' to each side of the equation. 6s2 + -6s2 = 5 + 11s + -6s2 Combine like terms: 6s2 + -6s2 = 0 0 = 5 + 11s + -6s2 Simplifying 0 = 5 + 11s + -6s2 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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