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Simplifying 56s2 + 19st + -15t2 = 0 Reorder the terms: 19st + 56s2 + -15t2 = 0 Solving 19st + 56s2 + -15t2 = 0 Solving for variable 's'. Factor a trinomial. (8s + -3t)(7s + 5t) = 0Subproblem 1
Set the factor '(8s + -3t)' equal to zero and attempt to solve: Simplifying 8s + -3t = 0 Solving 8s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 8s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 8s + 0 = 0 + 3t 8s = 0 + 3t Remove the zero: 8s = 3t Divide each side by '8'. s = 0.375t Simplifying s = 0.375tSubproblem 2
Set the factor '(7s + 5t)' equal to zero and attempt to solve: Simplifying 7s + 5t = 0 Solving 7s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 7s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 7s + 0 = 0 + -5t 7s = 0 + -5t Remove the zero: 7s = -5t Divide each side by '7'. s = -0.7142857143t Simplifying s = -0.7142857143tSolution
s = {0.375t, -0.7142857143t}
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