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Simplifying 12x + -4sqrt(1 + x2) = 0 12x + (1 * -4qrst + x2 * -4qrst) = 0 12x + (-4qrst + -4qrstx2) = 0 Reorder the terms: -4qrst + -4qrstx2 + 12x = 0 Solving -4qrst + -4qrstx2 + 12x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12x' to each side of the equation. -4qrst + -4qrstx2 + 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 -4qrst + -4qrstx2 + 0 = 0 + -12x -4qrst + -4qrstx2 = 0 + -12x Remove the zero: -4qrst + -4qrstx2 = -12x Combine like terms: -12x + 12x = 0 -4qrst + -4qrstx2 + 12x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1qrst + -1qrstx2 + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1qrst + -1qrstx2 + 3x)' equal to zero and attempt to solve: Simplifying -1qrst + -1qrstx2 + 3x = 0 Solving -1qrst + -1qrstx2 + 3x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3x' to each side of the equation. -1qrst + -1qrstx2 + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -1qrst + -1qrstx2 + 0 = 0 + -3x -1qrst + -1qrstx2 = 0 + -3x Remove the zero: -1qrst + -1qrstx2 = -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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