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Simplifying (2x2 + 4t + -6) + (11x + 1) = 0 Reorder the terms: (-6 + 4t + 2x2) + (11x + 1) = 0 Remove parenthesis around (-6 + 4t + 2x2) -6 + 4t + 2x2 + (11x + 1) = 0 Reorder the terms: -6 + 4t + 2x2 + (1 + 11x) = 0 Remove parenthesis around (1 + 11x) -6 + 4t + 2x2 + 1 + 11x = 0 Reorder the terms: -6 + 1 + 4t + 11x + 2x2 = 0 Combine like terms: -6 + 1 = -5 -5 + 4t + 11x + 2x2 = 0 Solving -5 + 4t + 11x + 2x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4t + 11x + 5 + 2x2 = 0 + 5 Reorder the terms: -5 + 5 + 4t + 11x + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4t + 11x + 2x2 = 0 + 5 4t + 11x + 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 4t + 11x + 2x2 = 5 Add '-11x' to each side of the equation. 4t + 11x + -11x + 2x2 = 5 + -11x Combine like terms: 11x + -11x = 0 4t + 0 + 2x2 = 5 + -11x 4t + 2x2 = 5 + -11x Add '-2x2' to each side of the equation. 4t + 2x2 + -2x2 = 5 + -11x + -2x2 Combine like terms: 2x2 + -2x2 = 0 4t + 0 = 5 + -11x + -2x2 4t = 5 + -11x + -2x2 Divide each side by '4'. t = 1.25 + -2.75x + -0.5x2 Simplifying t = 1.25 + -2.75x + -0.5x2
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