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Simplifying 3s2 + -26s + 2 = 5s2 + 2 Reorder the terms: 2 + -26s + 3s2 = 5s2 + 2 Reorder the terms: 2 + -26s + 3s2 = 2 + 5s2 Add '-2' to each side of the equation. 2 + -26s + -2 + 3s2 = 2 + -2 + 5s2 Reorder the terms: 2 + -2 + -26s + 3s2 = 2 + -2 + 5s2 Combine like terms: 2 + -2 = 0 0 + -26s + 3s2 = 2 + -2 + 5s2 -26s + 3s2 = 2 + -2 + 5s2 Combine like terms: 2 + -2 = 0 -26s + 3s2 = 0 + 5s2 -26s + 3s2 = 5s2 Solving -26s + 3s2 = 5s2 Solving for variable 's'. Combine like terms: 3s2 + -5s2 = -2s2 -26s + -2s2 = 5s2 + -5s2 Combine like terms: 5s2 + -5s2 = 0 -26s + -2s2 = 0 Factor out the Greatest Common Factor (GCF), '-2s'. -2s(13 + s) = 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 '(13 + s)' equal to zero and attempt to solve: Simplifying 13 + s = 0 Solving 13 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + s = 0 + -13 s = 0 + -13 Combine like terms: 0 + -13 = -13 s = -13 Simplifying s = -13Solution
s = {0, -13}
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