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Simplifying 4X2 + 14x + 12 = 6 + -12x + -8x2 Reorder the terms: 12 + 4X2 + 14x = 6 + -12x + -8x2 Solving 12 + 4X2 + 14x = 6 + -12x + -8x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4X2 + -12 + 14x = 6 + -12x + -12 + -8x2 Reorder the terms: 12 + -12 + 4X2 + 14x = 6 + -12x + -12 + -8x2 Combine like terms: 12 + -12 = 0 0 + 4X2 + 14x = 6 + -12x + -12 + -8x2 4X2 + 14x = 6 + -12x + -12 + -8x2 Reorder the terms: 4X2 + 14x = 6 + -12 + -12x + -8x2 Combine like terms: 6 + -12 = -6 4X2 + 14x = -6 + -12x + -8x2 Add '-14x' to each side of the equation. 4X2 + 14x + -14x = -6 + -12x + -14x + -8x2 Combine like terms: 14x + -14x = 0 4X2 + 0 = -6 + -12x + -14x + -8x2 4X2 = -6 + -12x + -14x + -8x2 Combine like terms: -12x + -14x = -26x 4X2 = -6 + -26x + -8x2 Divide each side by '4'. X2 = -1.5 + -6.5x + -2x2 Simplifying X2 = -1.5 + -6.5x + -2x2 Reorder the terms: 1.5 + X2 + 6.5x + 2x2 = -1.5 + -6.5x + -2x2 + 1.5 + 6.5x + 2x2 Reorder the terms: 1.5 + X2 + 6.5x + 2x2 = -1.5 + 1.5 + -6.5x + 6.5x + -2x2 + 2x2 Combine like terms: -1.5 + 1.5 = 0.0 1.5 + X2 + 6.5x + 2x2 = 0.0 + -6.5x + 6.5x + -2x2 + 2x2 1.5 + X2 + 6.5x + 2x2 = -6.5x + 6.5x + -2x2 + 2x2 Combine like terms: -6.5x + 6.5x = 0.0 1.5 + X2 + 6.5x + 2x2 = 0.0 + -2x2 + 2x2 1.5 + X2 + 6.5x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 1.5 + X2 + 6.5x + 2x2 = 0 The solution to this equation could not be determined.
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