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Simplifying x4 + 16x2 + -67 + 18sqrt(4 + -3x) = 0 x4 + 16x2 + -67 + (4 * 18qrst + -3x * 18qrst) = 0 x4 + 16x2 + -67 + (72qrst + -54qrstx) = 0 Reorder the terms: -67 + 72qrst + -54qrstx + 16x2 + x4 = 0 Solving -67 + 72qrst + -54qrstx + 16x2 + x4 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 72qrst + -54qrstx + 16x2 + 67 + x4 = 0 + 67 Reorder the terms: -67 + 67 + 72qrst + -54qrstx + 16x2 + x4 = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 72qrst + -54qrstx + 16x2 + x4 = 0 + 67 72qrst + -54qrstx + 16x2 + x4 = 0 + 67 Combine like terms: 0 + 67 = 67 72qrst + -54qrstx + 16x2 + x4 = 67 Add '-16x2' to each side of the equation. 72qrst + -54qrstx + 16x2 + -16x2 + x4 = 67 + -16x2 Combine like terms: 16x2 + -16x2 = 0 72qrst + -54qrstx + 0 + x4 = 67 + -16x2 72qrst + -54qrstx + x4 = 67 + -16x2 Add '-1x4' to each side of the equation. 72qrst + -54qrstx + x4 + -1x4 = 67 + -16x2 + -1x4 Combine like terms: x4 + -1x4 = 0 72qrst + -54qrstx + 0 = 67 + -16x2 + -1x4 72qrst + -54qrstx = 67 + -16x2 + -1x4 Reorder the terms: -67 + 72qrst + -54qrstx + 16x2 + x4 = 67 + -16x2 + -1x4 + -67 + 16x2 + x4 Reorder the terms: -67 + 72qrst + -54qrstx + 16x2 + x4 = 67 + -67 + -16x2 + 16x2 + -1x4 + x4 Combine like terms: 67 + -67 = 0 -67 + 72qrst + -54qrstx + 16x2 + x4 = 0 + -16x2 + 16x2 + -1x4 + x4 -67 + 72qrst + -54qrstx + 16x2 + x4 = -16x2 + 16x2 + -1x4 + x4 Combine like terms: -16x2 + 16x2 = 0 -67 + 72qrst + -54qrstx + 16x2 + x4 = 0 + -1x4 + x4 -67 + 72qrst + -54qrstx + 16x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 -67 + 72qrst + -54qrstx + 16x2 + x4 = 0 The solution to this equation could not be determined.
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