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Simplifying 12x3 + 4X2 + 3x + 1 = 0 Reorder the terms: 1 + 4X2 + 3x + 12x3 = 0 Solving 1 + 4X2 + 3x + 12x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4X2 + 3x + -1 + 12x3 = 0 + -1 Reorder the terms: 1 + -1 + 4X2 + 3x + 12x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4X2 + 3x + 12x3 = 0 + -1 4X2 + 3x + 12x3 = 0 + -1 Combine like terms: 0 + -1 = -1 4X2 + 3x + 12x3 = -1 Add '-3x' to each side of the equation. 4X2 + 3x + -3x + 12x3 = -1 + -3x Combine like terms: 3x + -3x = 0 4X2 + 0 + 12x3 = -1 + -3x 4X2 + 12x3 = -1 + -3x Add '-12x3' to each side of the equation. 4X2 + 12x3 + -12x3 = -1 + -3x + -12x3 Combine like terms: 12x3 + -12x3 = 0 4X2 + 0 = -1 + -3x + -12x3 4X2 = -1 + -3x + -12x3 Divide each side by '4'. X2 = -0.25 + -0.75x + -3x3 Simplifying X2 = -0.25 + -0.75x + -3x3 Reorder the terms: 0.25 + X2 + 0.75x + 3x3 = -0.25 + -0.75x + -3x3 + 0.25 + 0.75x + 3x3 Reorder the terms: 0.25 + X2 + 0.75x + 3x3 = -0.25 + 0.25 + -0.75x + 0.75x + -3x3 + 3x3 Combine like terms: -0.25 + 0.25 = 0.00 0.25 + X2 + 0.75x + 3x3 = 0.00 + -0.75x + 0.75x + -3x3 + 3x3 0.25 + X2 + 0.75x + 3x3 = -0.75x + 0.75x + -3x3 + 3x3 Combine like terms: -0.75x + 0.75x = 0.00 0.25 + X2 + 0.75x + 3x3 = 0.00 + -3x3 + 3x3 0.25 + X2 + 0.75x + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 0.25 + X2 + 0.75x + 3x3 = 0 The solution to this equation could not be determined.
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