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Simplifying 4X2 + -3x + -18 = x2 Reorder the terms: -18 + 4X2 + -3x = x2 Solving -18 + 4X2 + -3x = x2 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 + -3x = 18 + x2 Reorder the terms: -18 + 18 + 4X2 + -3x = 18 + x2 Combine like terms: -18 + 18 = 0 0 + 4X2 + -3x = 18 + x2 4X2 + -3x = 18 + x2 Add '3x' to each side of the equation. 4X2 + -3x + 3x = 18 + 3x + x2 Combine like terms: -3x + 3x = 0 4X2 + 0 = 18 + 3x + x2 4X2 = 18 + 3x + x2 Divide each side by '4'. X2 = 4.5 + 0.75x + 0.25x2 Simplifying X2 = 4.5 + 0.75x + 0.25x2 Reorder the terms: -4.5 + X2 + -0.75x + -0.25x2 = 4.5 + 0.75x + 0.25x2 + -4.5 + -0.75x + -0.25x2 Reorder the terms: -4.5 + X2 + -0.75x + -0.25x2 = 4.5 + -4.5 + 0.75x + -0.75x + 0.25x2 + -0.25x2 Combine like terms: 4.5 + -4.5 = 0.0 -4.5 + X2 + -0.75x + -0.25x2 = 0.0 + 0.75x + -0.75x + 0.25x2 + -0.25x2 -4.5 + X2 + -0.75x + -0.25x2 = 0.75x + -0.75x + 0.25x2 + -0.25x2 Combine like terms: 0.75x + -0.75x = 0.00 -4.5 + X2 + -0.75x + -0.25x2 = 0.00 + 0.25x2 + -0.25x2 -4.5 + X2 + -0.75x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -4.5 + X2 + -0.75x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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