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Simplifying (6x + -3y) * 2s(-4) = 0 Reorder the terms for easier multiplication: 2 * -4s(6x + -3y) = 0 Multiply 2 * -4 -8s(6x + -3y) = 0 (6x * -8s + -3y * -8s) = 0 (-48sx + 24sy) = 0 Solving -48sx + 24sy = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '24s'. 24s(-2x + y) = 0 Ignore the factor 24.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 = 0Subproblem 2
Set the factor '(-2x + y)' equal to zero and attempt to solve: Simplifying -2x + y = 0 Solving -2x + y = 0 Move all terms containing s to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + y = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y = 0 + 2x y = 0 + 2x Remove the zero: y = 2x Add '-1y' to each side of the equation. y + -1y = 2x + -1y Combine like terms: y + -1y = 0 0 = 2x + -1y Simplifying 0 = 2x + -1y 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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