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Simplifying 10s2 + 10s2 + -13st = 0 Reorder the terms: -13st + 10s2 + 10s2 = 0 Combine like terms: 10s2 + 10s2 = 20s2 -13st + 20s2 = 0 Solving -13st + 20s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-13t + 20s) = 0Subproblem 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 '(-13t + 20s)' equal to zero and attempt to solve: Simplifying -13t + 20s = 0 Reorder the terms: 20s + -13t = 0 Solving 20s + -13t = 0 Move all terms containing s to the left, all other terms to the right. Add '13t' to each side of the equation. 20s + -13t + 13t = 0 + 13t Combine like terms: -13t + 13t = 0 20s + 0 = 0 + 13t 20s = 0 + 13t Remove the zero: 20s = 13t Divide each side by '20'. s = 0.65t Simplifying s = 0.65tSolution
s = {0, 0.65t}
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