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Simplifying 35s2 + -10s = 5s Reorder the terms: -10s + 35s2 = 5s Solving -10s + 35s2 = 5s Solving for variable 's'. Reorder the terms: -10s + -5s + 35s2 = 5s + -5s Combine like terms: -10s + -5s = -15s -15s + 35s2 = 5s + -5s Combine like terms: 5s + -5s = 0 -15s + 35s2 = 0 Factor out the Greatest Common Factor (GCF), '5s'. 5s(-3 + 7s) = 0 Ignore the factor 5.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 '(-3 + 7s)' equal to zero and attempt to solve: Simplifying -3 + 7s = 0 Solving -3 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7s = 0 + 3 7s = 0 + 3 Combine like terms: 0 + 3 = 3 7s = 3 Divide each side by '7'. s = 0.4285714286 Simplifying s = 0.4285714286Solution
s = {0, 0.4285714286}
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