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Simplifying x2 + (1 + -1t) * x + 2t + -6 = 0 Reorder the terms for easier multiplication: x2 + x(1 + -1t) + 2t + -6 = 0 x2 + (1 * x + -1t * x) + 2t + -6 = 0 Reorder the terms: x2 + (-1tx + 1x) + 2t + -6 = 0 x2 + (-1tx + 1x) + 2t + -6 = 0 Reorder the terms: -6 + 2t + -1tx + 1x + x2 = 0 Solving -6 + 2t + -1tx + 1x + x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2t + -1tx + 1x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 2t + -1tx + 1x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2t + -1tx + 1x + x2 = 0 + 6 2t + -1tx + 1x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 2t + -1tx + 1x + x2 = 6 Add '-1x' to each side of the equation. 2t + -1tx + 1x + -1x + x2 = 6 + -1x Combine like terms: 1x + -1x = 0 2t + -1tx + 0 + x2 = 6 + -1x 2t + -1tx + x2 = 6 + -1x Add '-1x2' to each side of the equation. 2t + -1tx + x2 + -1x2 = 6 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 2t + -1tx + 0 = 6 + -1x + -1x2 2t + -1tx = 6 + -1x + -1x2 Reorder the terms: -6 + 2t + -1tx + x + x2 = 6 + -1x + -1x2 + -6 + x + x2 Reorder the terms: -6 + 2t + -1tx + x + x2 = 6 + -6 + -1x + x + -1x2 + x2 Combine like terms: 6 + -6 = 0 -6 + 2t + -1tx + x + x2 = 0 + -1x + x + -1x2 + x2 -6 + 2t + -1tx + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -6 + 2t + -1tx + x + x2 = 0 + -1x2 + x2 -6 + 2t + -1tx + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + 2t + -1tx + x + x2 = 0 The solution to this equation could not be determined.
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