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Simplifying 6t = t2 + 25 Reorder the terms: 6t = 25 + t2 Solving 6t = 25 + t2 Solving for variable 't'. Reorder the terms: -25 + 6t + -1t2 = 25 + t2 + -25 + -1t2 Reorder the terms: -25 + 6t + -1t2 = 25 + -25 + t2 + -1t2 Combine like terms: 25 + -25 = 0 -25 + 6t + -1t2 = 0 + t2 + -1t2 -25 + 6t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -25 + 6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 25 + -6t + t2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + -6t + -25 + t2 = 0 + -25 Reorder the terms: 25 + -25 + -6t + t2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6t + t2 = 0 + -25 -6t + t2 = 0 + -25 Combine like terms: 0 + -25 = -25 -6t + t2 = -25 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 = -25 + 9 Reorder the terms: 9 + -6t + t2 = -25 + 9 Combine like terms: -25 + 9 = -16 9 + -6t + t2 = -16 Factor a perfect square on the left side: (t + -3)(t + -3) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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