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Simplifying t2 + -10t + 40 = 0 Reorder the terms: 40 + -10t + t2 = 0 Solving 40 + -10t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -10t + -40 + t2 = 0 + -40 Reorder the terms: 40 + -40 + -10t + t2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10t + t2 = 0 + -40 -10t + t2 = 0 + -40 Combine like terms: 0 + -40 = -40 -10t + t2 = -40 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = -40 + 25 Reorder the terms: 25 + -10t + t2 = -40 + 25 Combine like terms: -40 + 25 = -15 25 + -10t + t2 = -15 Factor a perfect square on the left side: (t + -5)(t + -5) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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