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Simplifying (3s + -1t)(t + -5) = 0 Reorder the terms: (3s + -1t)(-5 + t) = 0 Multiply (3s + -1t) * (-5 + t) (3s * (-5 + t) + -1t * (-5 + t)) = 0 ((-5 * 3s + t * 3s) + -1t * (-5 + t)) = 0 ((-15s + 3st) + -1t * (-5 + t)) = 0 (-15s + 3st + (-5 * -1t + t * -1t)) = 0 (-15s + 3st + (5t + -1t2)) = 0 (-15s + 3st + 5t + -1t2) = 0 Solving -15s + 3st + 5t + -1t2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. -15s + 3st + 5t + -5t + -1t2 = 0 + -5t Combine like terms: 5t + -5t = 0 -15s + 3st + 0 + -1t2 = 0 + -5t -15s + 3st + -1t2 = 0 + -5t Remove the zero: -15s + 3st + -1t2 = -5t Add 't2' to each side of the equation. -15s + 3st + -1t2 + t2 = -5t + t2 Combine like terms: -1t2 + t2 = 0 -15s + 3st + 0 = -5t + t2 -15s + 3st = -5t + t2 Reorder the terms: -15s + 3st + 5t + -1t2 = -5t + 5t + t2 + -1t2 Combine like terms: -5t + 5t = 0 -15s + 3st + 5t + -1t2 = 0 + t2 + -1t2 -15s + 3st + 5t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -15s + 3st + 5t + -1t2 = 0 The solution to this equation could not be determined.
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