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Simplifying sqrt(-2x + -1) + -5 = 7x Reorder the terms: qrst(-1 + -2x) + -5 = 7x (-1 * qrst + -2x * qrst) + -5 = 7x (-1qrst + -2qrstx) + -5 = 7x Reorder the terms: -5 + -1qrst + -2qrstx = 7x Solving -5 + -1qrst + -2qrstx = 7x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1qrst + 5 + -2qrstx = 5 + 7x Reorder the terms: -5 + 5 + -1qrst + -2qrstx = 5 + 7x Combine like terms: -5 + 5 = 0 0 + -1qrst + -2qrstx = 5 + 7x -1qrst + -2qrstx = 5 + 7x Reorder the terms: -5 + -1qrst + -2qrstx + -7x = 5 + 7x + -5 + -7x Reorder the terms: -5 + -1qrst + -2qrstx + -7x = 5 + -5 + 7x + -7x Combine like terms: 5 + -5 = 0 -5 + -1qrst + -2qrstx + -7x = 0 + 7x + -7x -5 + -1qrst + -2qrstx + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -1qrst + -2qrstx + -7x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + qrst + 2qrstx + 7x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + qrst + 2qrstx + 7x)' equal to zero and attempt to solve: Simplifying 5 + qrst + 2qrstx + 7x = 0 Solving 5 + qrst + 2qrstx + 7x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + qrst + 2qrstx + -5 + 7x = 0 + -5 Reorder the terms: 5 + -5 + qrst + 2qrstx + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + qrst + 2qrstx + 7x = 0 + -5 qrst + 2qrstx + 7x = 0 + -5 Combine like terms: 0 + -5 = -5 qrst + 2qrstx + 7x = -5 Add '-7x' to each side of the equation. qrst + 2qrstx + 7x + -7x = -5 + -7x Combine like terms: 7x + -7x = 0 qrst + 2qrstx + 0 = -5 + -7x qrst + 2qrstx = -5 + -7x 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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