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Simplifying 0 = 9st(7s + -6t2) 0 = (7s * 9st + -6t2 * 9st) Reorder the terms: 0 = (-54st3 + 63s2t) 0 = (-54st3 + 63s2t) Solving 0 = -54st3 + 63s2t Solving for variable 's'. Remove the zero: 54st3 + -63s2t = -54st3 + 63s2t + 54st3 + -63s2t Reorder the terms: 54st3 + -63s2t = -54st3 + 54st3 + 63s2t + -63s2t Combine like terms: -54st3 + 54st3 = 0 54st3 + -63s2t = 0 + 63s2t + -63s2t 54st3 + -63s2t = 63s2t + -63s2t Combine like terms: 63s2t + -63s2t = 0 54st3 + -63s2t = 0 Factor out the Greatest Common Factor (GCF), '9st'. 9st(6t2 + -7s) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'st' equal to zero and attempt to solve: Simplifying st = 0 Solving st = 0 Move all terms containing s to the left, all other terms to the right. Simplifying st = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6t2 + -7s)' equal to zero and attempt to solve: Simplifying 6t2 + -7s = 0 Reorder the terms: -7s + 6t2 = 0 Solving -7s + 6t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-6t2' to each side of the equation. -7s + 6t2 + -6t2 = 0 + -6t2 Combine like terms: 6t2 + -6t2 = 0 -7s + 0 = 0 + -6t2 -7s = 0 + -6t2 Remove the zero: -7s = -6t2 Divide each side by '-7'. s = 0.8571428571t2 Simplifying s = 0.8571428571t2Solution
s = {0.8571428571t2}
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