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Simplifying t2 + -4t = -48 Reorder the terms: -4t + t2 = -48 Solving -4t + t2 = -48 Solving for variable 't'. Reorder the terms: 48 + -4t + t2 = -48 + 48 Combine like terms: -48 + 48 = 0 48 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -4t + -48 + t2 = 0 + -48 Reorder the terms: 48 + -48 + -4t + t2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4t + t2 = 0 + -48 -4t + t2 = 0 + -48 Combine like terms: 0 + -48 = -48 -4t + t2 = -48 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -48 + 4 Reorder the terms: 4 + -4t + t2 = -48 + 4 Combine like terms: -48 + 4 = -44 4 + -4t + t2 = -44 Factor a perfect square on the left side: (t + -2)(t + -2) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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