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