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Simplifying 6s2 + -10s = 2s Reorder the terms: -10s + 6s2 = 2s Solving -10s + 6s2 = 2s Solving for variable 's'. Reorder the terms: -10s + -2s + 6s2 = 2s + -2s Combine like terms: -10s + -2s = -12s -12s + 6s2 = 2s + -2s Combine like terms: 2s + -2s = 0 -12s + 6s2 = 0 Factor out the Greatest Common Factor (GCF), '6s'. 6s(-2 + s) = 0 Ignore the factor 6.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 '(-2 + s)' equal to zero and attempt to solve: Simplifying -2 + s = 0 Solving -2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s = 0 + 2 s = 0 + 2 Combine like terms: 0 + 2 = 2 s = 2 Simplifying s = 2Solution
s = {0, 2}
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