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Simplifying 4X2 + 14x + 18 = 6 + -12x + -8x2 Reorder the terms: 18 + 4X2 + 14x = 6 + -12x + -8x2 Solving 18 + 4X2 + 14x = 6 + -12x + -8x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 4X2 + -18 + 14x = 6 + -12x + -18 + -8x2 Reorder the terms: 18 + -18 + 4X2 + 14x = 6 + -12x + -18 + -8x2 Combine like terms: 18 + -18 = 0 0 + 4X2 + 14x = 6 + -12x + -18 + -8x2 4X2 + 14x = 6 + -12x + -18 + -8x2 Reorder the terms: 4X2 + 14x = 6 + -18 + -12x + -8x2 Combine like terms: 6 + -18 = -12 4X2 + 14x = -12 + -12x + -8x2 Add '-14x' to each side of the equation. 4X2 + 14x + -14x = -12 + -12x + -14x + -8x2 Combine like terms: 14x + -14x = 0 4X2 + 0 = -12 + -12x + -14x + -8x2 4X2 = -12 + -12x + -14x + -8x2 Combine like terms: -12x + -14x = -26x 4X2 = -12 + -26x + -8x2 Divide each side by '4'. X2 = -3 + -6.5x + -2x2 Simplifying X2 = -3 + -6.5x + -2x2 Reorder the terms: 3 + X2 + 6.5x + 2x2 = -3 + -6.5x + -2x2 + 3 + 6.5x + 2x2 Reorder the terms: 3 + X2 + 6.5x + 2x2 = -3 + 3 + -6.5x + 6.5x + -2x2 + 2x2 Combine like terms: -3 + 3 = 0 3 + X2 + 6.5x + 2x2 = 0 + -6.5x + 6.5x + -2x2 + 2x2 3 + X2 + 6.5x + 2x2 = -6.5x + 6.5x + -2x2 + 2x2 Combine like terms: -6.5x + 6.5x = 0.0 3 + X2 + 6.5x + 2x2 = 0.0 + -2x2 + 2x2 3 + X2 + 6.5x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + X2 + 6.5x + 2x2 = 0 The solution to this equation could not be determined.
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