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Simplifying (3s + 5)(2x + -6) = 0 Reorder the terms: (5 + 3s)(2x + -6) = 0 Reorder the terms: (5 + 3s)(-6 + 2x) = 0 Multiply (5 + 3s) * (-6 + 2x) (5(-6 + 2x) + 3s * (-6 + 2x)) = 0 ((-6 * 5 + 2x * 5) + 3s * (-6 + 2x)) = 0 ((-30 + 10x) + 3s * (-6 + 2x)) = 0 (-30 + 10x + (-6 * 3s + 2x * 3s)) = 0 (-30 + 10x + (-18s + 6sx)) = 0 Reorder the terms: (-30 + -18s + 6sx + 10x) = 0 (-30 + -18s + 6sx + 10x) = 0 Solving -30 + -18s + 6sx + 10x = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -18s + 6sx + 30 + 10x = 0 + 30 Reorder the terms: -30 + 30 + -18s + 6sx + 10x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -18s + 6sx + 10x = 0 + 30 -18s + 6sx + 10x = 0 + 30 Combine like terms: 0 + 30 = 30 -18s + 6sx + 10x = 30 Add '-10x' to each side of the equation. -18s + 6sx + 10x + -10x = 30 + -10x Combine like terms: 10x + -10x = 0 -18s + 6sx + 0 = 30 + -10x -18s + 6sx = 30 + -10x Reorder the terms: -30 + -18s + 6sx + 10x = 30 + -10x + -30 + 10x Reorder the terms: -30 + -18s + 6sx + 10x = 30 + -30 + -10x + 10x Combine like terms: 30 + -30 = 0 -30 + -18s + 6sx + 10x = 0 + -10x + 10x -30 + -18s + 6sx + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -30 + -18s + 6sx + 10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -9s + 3sx + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -9s + 3sx + 5x)' equal to zero and attempt to solve: Simplifying -15 + -9s + 3sx + 5x = 0 Solving -15 + -9s + 3sx + 5x = 0 Move all terms containing s to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -9s + 3sx + 15 + 5x = 0 + 15 Reorder the terms: -15 + 15 + -9s + 3sx + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -9s + 3sx + 5x = 0 + 15 -9s + 3sx + 5x = 0 + 15 Combine like terms: 0 + 15 = 15 -9s + 3sx + 5x = 15 Add '-5x' to each side of the equation. -9s + 3sx + 5x + -5x = 15 + -5x Combine like terms: 5x + -5x = 0 -9s + 3sx + 0 = 15 + -5x -9s + 3sx = 15 + -5x 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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