3s(7)=12sc(3)

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Solution for 3s(7)=12sc(3) equation:


Simplifying
3s(7) = 12sc(3)

Reorder the terms for easier multiplication:
3 * 7s = 12sc(3)

Multiply 3 * 7
21s = 12sc(3)

Reorder the terms for easier multiplication:
21s = 12 * 3cs

Multiply 12 * 3
21s = 36cs

Solving
21s = 36cs

Solving for variable 's'.

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

Add '-36cs' to each side of the equation.
-36cs + 21s = 36cs + -36cs

Combine like terms: 36cs + -36cs = 0
-36cs + 21s = 0

Factor out the Greatest Common Factor (GCF), '3s'.
3s(-12c + 7) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

Set the factor '(-12c + 7)' equal to zero and attempt to solve: Simplifying -12c + 7 = 0 Reorder the terms: 7 + -12c = 0 Solving 7 + -12c = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12c = 0 + -7 -12c = 0 + -7 Combine like terms: 0 + -7 = -7 -12c = -7 Add '12c' to each side of the equation. -12c + 12c = -7 + 12c Combine like terms: -12c + 12c = 0 0 = -7 + 12c Simplifying 0 = -7 + 12c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

s = {0}

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