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Simplifying 4st + 14t2 + -10s2 = 0 Reorder the terms: 4st + -10s2 + 14t2 = 0 Solving 4st + -10s2 + 14t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(2st + -5s2 + 7t2) = 0 Factor a trinomial. 2((-1s + -1t)(5s + -7t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1s + -1t)' equal to zero and attempt to solve: Simplifying -1s + -1t = 0 Solving -1s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. -1s + -1t + t = 0 + t Combine like terms: -1t + t = 0 -1s + 0 = 0 + t -1s = 0 + t Remove the zero: -1s = t Divide each side by '-1'. s = -1t Simplifying s = -1tSubproblem 2
Set the factor '(5s + -7t)' equal to zero and attempt to solve: Simplifying 5s + -7t = 0 Solving 5s + -7t = 0 Move all terms containing s to the left, all other terms to the right. Add '7t' to each side of the equation. 5s + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 5s + 0 = 0 + 7t 5s = 0 + 7t Remove the zero: 5s = 7t Divide each side by '5'. s = 1.4t Simplifying s = 1.4tSolution
s = {-1t, 1.4t}
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