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Simplifying 3sqrt(4x + -8) + 9 = 15 Reorder the terms: 3qrst(-8 + 4x) + 9 = 15 (-8 * 3qrst + 4x * 3qrst) + 9 = 15 (-24qrst + 12qrstx) + 9 = 15 Reorder the terms: 9 + -24qrst + 12qrstx = 15 Solving 9 + -24qrst + 12qrstx = 15 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -24qrst + -9 + 12qrstx = 15 + -9 Reorder the terms: 9 + -9 + -24qrst + 12qrstx = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -24qrst + 12qrstx = 15 + -9 -24qrst + 12qrstx = 15 + -9 Combine like terms: 15 + -9 = 6 -24qrst + 12qrstx = 6 Reorder the terms: -6 + -24qrst + 12qrstx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -24qrst + 12qrstx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -4qrst + 2qrstx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -4qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -1 + -4qrst + 2qrstx = 0 Solving -1 + -4qrst + 2qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4qrst + 1 + 2qrstx = 0 + 1 Reorder the terms: -1 + 1 + -4qrst + 2qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4qrst + 2qrstx = 0 + 1 -4qrst + 2qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -4qrst + 2qrstx = 1 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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