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Simplifying sqrt(2x + 8) + -6 = 4 Reorder the terms: qrst(8 + 2x) + -6 = 4 (8 * qrst + 2x * qrst) + -6 = 4 (8qrst + 2qrstx) + -6 = 4 Reorder the terms: -6 + 8qrst + 2qrstx = 4 Solving -6 + 8qrst + 2qrstx = 4 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 8qrst + 6 + 2qrstx = 4 + 6 Reorder the terms: -6 + 6 + 8qrst + 2qrstx = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 8qrst + 2qrstx = 4 + 6 8qrst + 2qrstx = 4 + 6 Combine like terms: 4 + 6 = 10 8qrst + 2qrstx = 10 Reorder the terms: -10 + 8qrst + 2qrstx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 8qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 4qrst + qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 4qrst + qrstx)' equal to zero and attempt to solve: Simplifying -5 + 4qrst + qrstx = 0 Solving -5 + 4qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4qrst + 5 + qrstx = 0 + 5 Reorder the terms: -5 + 5 + 4qrst + qrstx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4qrst + qrstx = 0 + 5 4qrst + qrstx = 0 + 5 Combine like terms: 0 + 5 = 5 4qrst + qrstx = 5 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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