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Simplifying (t2 + 64) + -1(t + 8) + -12 = 0 Reorder the terms: (64 + t2) + -1(t + 8) + -12 = 0 Remove parenthesis around (64 + t2) 64 + t2 + -1(t + 8) + -12 = 0 Reorder the terms: 64 + t2 + -1(8 + t) + -12 = 0 64 + t2 + (8 * -1 + t * -1) + -12 = 0 64 + t2 + (-8 + -1t) + -12 = 0 Reorder the terms: 64 + -8 + -12 + -1t + t2 = 0 Combine like terms: 64 + -8 = 56 56 + -12 + -1t + t2 = 0 Combine like terms: 56 + -12 = 44 44 + -1t + t2 = 0 Solving 44 + -1t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + -1t + -44 + t2 = 0 + -44 Reorder the terms: 44 + -44 + -1t + t2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1t + t2 = 0 + -44 -1t + t2 = 0 + -44 Combine like terms: 0 + -44 = -44 -1t + t2 = -44 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -44 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -44 + 0.25 Combine like terms: -44 + 0.25 = -43.75 0.25 + -1t + t2 = -43.75 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -43.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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