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Simplifying 8 + -2sqrt(x + 24) = -2x Reorder the terms: 8 + -2qrst(24 + x) = -2x 8 + (24 * -2qrst + x * -2qrst) = -2x 8 + (-48qrst + -2qrstx) = -2x Solving 8 + -48qrst + -2qrstx = -2x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -48qrst + -8 + -2qrstx = -8 + -2x Reorder the terms: 8 + -8 + -48qrst + -2qrstx = -8 + -2x Combine like terms: 8 + -8 = 0 0 + -48qrst + -2qrstx = -8 + -2x -48qrst + -2qrstx = -8 + -2x Reorder the terms: 8 + -48qrst + -2qrstx + 2x = -8 + -2x + 8 + 2x Reorder the terms: 8 + -48qrst + -2qrstx + 2x = -8 + 8 + -2x + 2x Combine like terms: -8 + 8 = 0 8 + -48qrst + -2qrstx + 2x = 0 + -2x + 2x 8 + -48qrst + -2qrstx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 8 + -48qrst + -2qrstx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -24qrst + -1qrstx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -24qrst + -1qrstx + x)' equal to zero and attempt to solve: Simplifying 4 + -24qrst + -1qrstx + x = 0 Solving 4 + -24qrst + -1qrstx + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -24qrst + -1qrstx + -4 + x = 0 + -4 Reorder the terms: 4 + -4 + -24qrst + -1qrstx + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -24qrst + -1qrstx + x = 0 + -4 -24qrst + -1qrstx + x = 0 + -4 Combine like terms: 0 + -4 = -4 -24qrst + -1qrstx + x = -4 Add '-1x' to each side of the equation. -24qrst + -1qrstx + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 -24qrst + -1qrstx + 0 = -4 + -1x -24qrst + -1qrstx = -4 + -1x 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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