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Simplifying (t + -2)(t + -2) = -3 Reorder the terms: (-2 + t)(t + -2) = -3 Reorder the terms: (-2 + t)(-2 + t) = -3 Multiply (-2 + t) * (-2 + t) (-2(-2 + t) + t(-2 + t)) = -3 ((-2 * -2 + t * -2) + t(-2 + t)) = -3 ((4 + -2t) + t(-2 + t)) = -3 (4 + -2t + (-2 * t + t * t)) = -3 (4 + -2t + (-2t + t2)) = -3 Combine like terms: -2t + -2t = -4t (4 + -4t + t2) = -3 Solving 4 + -4t + t2 = -3 Solving for variable 't'. Reorder the terms: 4 + 3 + -4t + t2 = -3 + 3 Combine like terms: 4 + 3 = 7 7 + -4t + t2 = -3 + 3 Combine like terms: -3 + 3 = 0 7 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -4t + -7 + t2 = 0 + -7 Reorder the terms: 7 + -7 + -4t + t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4t + t2 = 0 + -7 -4t + t2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4t + t2 = -7 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 = -7 + 4 Reorder the terms: 4 + -4t + t2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + -4t + t2 = -3 Factor a perfect square on the left side: (t + -2)(t + -2) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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