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Simplifying 16s2 + 56st + 49t2 = 0 Reorder the terms: 56st + 16s2 + 49t2 = 0 Solving 56st + 16s2 + 49t2 = 0 Solving for variable 's'. Factor a trinomial. (4s + 7t)(4s + 7t) = 0Subproblem 1
Set the factor '(4s + 7t)' equal to zero and attempt to solve: Simplifying 4s + 7t = 0 Solving 4s + 7t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 4s + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 4s + 0 = 0 + -7t 4s = 0 + -7t Remove the zero: 4s = -7t Divide each side by '4'. s = -1.75t Simplifying s = -1.75tSubproblem 2
Set the factor '(4s + 7t)' equal to zero and attempt to solve: Simplifying 4s + 7t = 0 Solving 4s + 7t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 4s + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 4s + 0 = 0 + -7t 4s = 0 + -7t Remove the zero: 4s = -7t Divide each side by '4'. s = -1.75t Simplifying s = -1.75tSolution
s = {-1.75t, -1.75t}
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