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Simplifying 32 = 4t + -1t2 Solving 32 = 4t + -1t2 Solving for variable 't'. Reorder the terms: 32 + -4t + t2 = 4t + -4t + -1t2 + t2 Combine like terms: 4t + -4t = 0 32 + -4t + t2 = 0 + -1t2 + t2 32 + -4t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 32 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -4t + -32 + t2 = 0 + -32 Reorder the terms: 32 + -32 + -4t + t2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4t + t2 = 0 + -32 -4t + t2 = 0 + -32 Combine like terms: 0 + -32 = -32 -4t + t2 = -32 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 = -32 + 4 Reorder the terms: 4 + -4t + t2 = -32 + 4 Combine like terms: -32 + 4 = -28 4 + -4t + t2 = -28 Factor a perfect square on the left side: (t + -2)(t + -2) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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