-10=S(2w-4)

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Solution for -10=S(2w-4) equation:


Simplifying
-10 = S(2w + -4)

Reorder the terms:
-10 = S(-4 + 2w)
-10 = (-4 * S + 2w * S)
-10 = (-4S + 2wS)

Solving
-10 = -4S + 2wS

Solving for variable 'S'.

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

Add '4S' to each side of the equation.
-10 + 4S = -4S + 4S + 2wS

Combine like terms: -4S + 4S = 0
-10 + 4S = 0 + 2wS
-10 + 4S = 2wS

Add '-2wS' to each side of the equation.
-10 + 4S + -2wS = 2wS + -2wS

Combine like terms: 2wS + -2wS = 0
-10 + 4S + -2wS = 0

Add '10' to each side of the equation.
-10 + 4S + 10 + -2wS = 0 + 10

Reorder the terms:
-10 + 10 + 4S + -2wS = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 4S + -2wS = 0 + 10
4S + -2wS = 0 + 10

Combine like terms: 0 + 10 = 10
4S + -2wS = 10

Reorder the terms:
-10 + 4S + -2wS = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 4S + -2wS = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 2S + -1wS) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 2S + -1wS)' equal to zero and attempt to solve: Simplifying -5 + 2S + -1wS = 0 Solving -5 + 2S + -1wS = 0 Move all terms containing S to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2S + 5 + -1wS = 0 + 5 Reorder the terms: -5 + 5 + 2S + -1wS = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2S + -1wS = 0 + 5 2S + -1wS = 0 + 5 Combine like terms: 0 + 5 = 5 2S + -1wS = 5 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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