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Simplifying 90s2 + -195st + 100s2 = 0 Reorder the terms: -195st + 90s2 + 100s2 = 0 Combine like terms: 90s2 + 100s2 = 190s2 -195st + 190s2 = 0 Solving -195st + 190s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(-39t + 38s) = 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 '(-39t + 38s)' equal to zero and attempt to solve: Simplifying -39t + 38s = 0 Reorder the terms: 38s + -39t = 0 Solving 38s + -39t = 0 Move all terms containing s to the left, all other terms to the right. Add '39t' to each side of the equation. 38s + -39t + 39t = 0 + 39t Combine like terms: -39t + 39t = 0 38s + 0 = 0 + 39t 38s = 0 + 39t Remove the zero: 38s = 39t Divide each side by '38'. s = 1.026315789t Simplifying s = 1.026315789tSolution
s = {0, 1.026315789t}
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