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Simplifying 4t2 + -120t + 1570.8 = 0 Reorder the terms: 1570.8 + -120t + 4t2 = 0 Solving 1570.8 + -120t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 392.7 + -30t + t2 = 0 Move the constant term to the right: Add '-392.7' to each side of the equation. 392.7 + -30t + -392.7 + t2 = 0 + -392.7 Reorder the terms: 392.7 + -392.7 + -30t + t2 = 0 + -392.7 Combine like terms: 392.7 + -392.7 = 0.0 0.0 + -30t + t2 = 0 + -392.7 -30t + t2 = 0 + -392.7 Combine like terms: 0 + -392.7 = -392.7 -30t + t2 = -392.7 The t term is -30t. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30t + 225 + t2 = -392.7 + 225 Reorder the terms: 225 + -30t + t2 = -392.7 + 225 Combine like terms: -392.7 + 225 = -167.7 225 + -30t + t2 = -167.7 Factor a perfect square on the left side: (t + -15)(t + -15) = -167.7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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