S(5(x+2))=40

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Solution for S(5(x+2))=40 equation:


Simplifying
S(5(x + 2)) = 40

Reorder the terms:
S(5(2 + x)) = 40
S((2 * 5 + x * 5)) = 40
S((10 + 5x)) = 40
(10 * S + 5x * S) = 40
(10S + 5xS) = 40

Solving
10S + 5xS = 40

Solving for variable 'S'.

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

Reorder the terms:
-40 + 10S + 5xS = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 10S + 5xS = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 2S + xS) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-8 + 2S + xS)' equal to zero and attempt to solve: Simplifying -8 + 2S + xS = 0 Solving -8 + 2S + xS = 0 Move all terms containing S to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2S + 8 + xS = 0 + 8 Reorder the terms: -8 + 8 + 2S + xS = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2S + xS = 0 + 8 2S + xS = 0 + 8 Combine like terms: 0 + 8 = 8 2S + xS = 8 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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