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Simplifying x4 + 4x3 + 6x2 + 4t + 5 = 0 Reorder the terms: 5 + 4t + 6x2 + 4x3 + x4 = 0 Solving 5 + 4t + 6x2 + 4x3 + x4 = 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 + 6x2 + 4x3 + -5 + x4 = 0 + -5 Reorder the terms: 5 + -5 + 4t + 6x2 + 4x3 + x4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4t + 6x2 + 4x3 + x4 = 0 + -5 4t + 6x2 + 4x3 + x4 = 0 + -5 Combine like terms: 0 + -5 = -5 4t + 6x2 + 4x3 + x4 = -5 Add '-6x2' to each side of the equation. 4t + 6x2 + 4x3 + -6x2 + x4 = -5 + -6x2 Reorder the terms: 4t + 6x2 + -6x2 + 4x3 + x4 = -5 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4t + 0 + 4x3 + x4 = -5 + -6x2 4t + 4x3 + x4 = -5 + -6x2 Add '-4x3' to each side of the equation. 4t + 4x3 + -4x3 + x4 = -5 + -6x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 4t + 0 + x4 = -5 + -6x2 + -4x3 4t + x4 = -5 + -6x2 + -4x3 Add '-1x4' to each side of the equation. 4t + x4 + -1x4 = -5 + -6x2 + -4x3 + -1x4 Combine like terms: x4 + -1x4 = 0 4t + 0 = -5 + -6x2 + -4x3 + -1x4 4t = -5 + -6x2 + -4x3 + -1x4 Divide each side by '4'. t = -1.25 + -1.5x2 + -1x3 + -0.25x4 Simplifying t = -1.25 + -1.5x2 + -1x3 + -0.25x4
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