-4(3-6d)=9(sd-s)

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Solution for -4(3-6d)=9(sd-s) equation:


Simplifying
-4(3 + -6d) = 9(sd + -1s)
(3 * -4 + -6d * -4) = 9(sd + -1s)
(-12 + 24d) = 9(sd + -1s)
-12 + 24d = (ds * 9 + -1s * 9)
-12 + 24d = (9ds + -9s)

Solving
-12 + 24d = 9ds + -9s

Solving for variable 'd'.

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

Add '-9ds' to each side of the equation.
-12 + 24d + -9ds = 9ds + -9ds + -9s

Combine like terms: 9ds + -9ds = 0
-12 + 24d + -9ds = 0 + -9s
-12 + 24d + -9ds = -9s

Add '12' to each side of the equation.
-12 + 24d + 12 + -9ds = 12 + -9s

Reorder the terms:
-12 + 12 + 24d + -9ds = 12 + -9s

Combine like terms: -12 + 12 = 0
0 + 24d + -9ds = 12 + -9s
24d + -9ds = 12 + -9s

Reorder the terms:
-12 + 24d + -9ds + 9s = 12 + -9s + -12 + 9s

Reorder the terms:
-12 + 24d + -9ds + 9s = 12 + -12 + -9s + 9s

Combine like terms: 12 + -12 = 0
-12 + 24d + -9ds + 9s = 0 + -9s + 9s
-12 + 24d + -9ds + 9s = -9s + 9s

Combine like terms: -9s + 9s = 0
-12 + 24d + -9ds + 9s = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 8d + -3ds + 3s) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + 8d + -3ds + 3s)' equal to zero and attempt to solve: Simplifying -4 + 8d + -3ds + 3s = 0 Solving -4 + 8d + -3ds + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8d + -3ds + 4 + 3s = 0 + 4 Reorder the terms: -4 + 4 + 8d + -3ds + 3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8d + -3ds + 3s = 0 + 4 8d + -3ds + 3s = 0 + 4 Combine like terms: 0 + 4 = 4 8d + -3ds + 3s = 4 Add '-3s' to each side of the equation. 8d + -3ds + 3s + -3s = 4 + -3s Combine like terms: 3s + -3s = 0 8d + -3ds + 0 = 4 + -3s 8d + -3ds = 4 + -3s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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