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Simplifying t2 + -16t + 65 = 0 Reorder the terms: 65 + -16t + t2 = 0 Solving 65 + -16t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + -16t + -65 + t2 = 0 + -65 Reorder the terms: 65 + -65 + -16t + t2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -16t + t2 = 0 + -65 -16t + t2 = 0 + -65 Combine like terms: 0 + -65 = -65 -16t + t2 = -65 The t term is -16t. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16t + 64 + t2 = -65 + 64 Reorder the terms: 64 + -16t + t2 = -65 + 64 Combine like terms: -65 + 64 = -1 64 + -16t + t2 = -1 Factor a perfect square on the left side: (t + -8)(t + -8) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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