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Simplifying (5t2 + -1t + 2) + (-4t2 + 3t + 7) = 0 Reorder the terms: (2 + -1t + 5t2) + (-4t2 + 3t + 7) = 0 Remove parenthesis around (2 + -1t + 5t2) 2 + -1t + 5t2 + (-4t2 + 3t + 7) = 0 Reorder the terms: 2 + -1t + 5t2 + (7 + 3t + -4t2) = 0 Remove parenthesis around (7 + 3t + -4t2) 2 + -1t + 5t2 + 7 + 3t + -4t2 = 0 Reorder the terms: 2 + 7 + -1t + 3t + 5t2 + -4t2 = 0 Combine like terms: 2 + 7 = 9 9 + -1t + 3t + 5t2 + -4t2 = 0 Combine like terms: -1t + 3t = 2t 9 + 2t + 5t2 + -4t2 = 0 Combine like terms: 5t2 + -4t2 = 1t2 9 + 2t + 1t2 = 0 Solving 9 + 2t + 1t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2t + -9 + t2 = 0 + -9 Reorder the terms: 9 + -9 + 2t + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2t + t2 = 0 + -9 2t + t2 = 0 + -9 Combine like terms: 0 + -9 = -9 2t + t2 = -9 The t term is 2t. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2t + 1 + t2 = -9 + 1 Reorder the terms: 1 + 2t + t2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + 2t + t2 = -8 Factor a perfect square on the left side: (t + 1)(t + 1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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