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Simplifying t2 + 10 = 6t Reorder the terms: 10 + t2 = 6t Solving 10 + t2 = 6t Solving for variable 't'. Reorder the terms: 10 + -6t + t2 = 6t + -6t Combine like terms: 6t + -6t = 0 10 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6t + -10 + t2 = 0 + -10 Reorder the terms: 10 + -10 + -6t + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6t + t2 = 0 + -10 -6t + t2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6t + t2 = -10 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 = -10 + 9 Reorder the terms: 9 + -6t + t2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6t + t2 = -1 Factor a perfect square on the left side: (t + -3)(t + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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