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Simplifying 0 = t2 + -6t + 15 Reorder the terms: 0 = 15 + -6t + t2 Solving 0 = 15 + -6t + t2 Solving for variable 't'. Combine like terms: 0 + -15 = -15 -15 + 6t + -1t2 = 15 + -6t + t2 + -15 + 6t + -1t2 Reorder the terms: -15 + 6t + -1t2 = 15 + -15 + -6t + 6t + t2 + -1t2 Combine like terms: 15 + -15 = 0 -15 + 6t + -1t2 = 0 + -6t + 6t + t2 + -1t2 -15 + 6t + -1t2 = -6t + 6t + t2 + -1t2 Combine like terms: -6t + 6t = 0 -15 + 6t + -1t2 = 0 + t2 + -1t2 -15 + 6t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -15 + 6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 15 + -6t + t2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -6t + -15 + t2 = 0 + -15 Reorder the terms: 15 + -15 + -6t + t2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6t + t2 = 0 + -15 -6t + t2 = 0 + -15 Combine like terms: 0 + -15 = -15 -6t + t2 = -15 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -15 + 9 Reorder the terms: 9 + -6t + t2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + -6t + t2 = -6 Factor a perfect square on the left side: (t + -3)(t + -3) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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