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Simplifying sqrt(6x + -9) * 7 = 21 Reorder the terms: qrst(-9 + 6x) * 7 = 21 Reorder the terms for easier multiplication: 7qrst(-9 + 6x) = 21 (-9 * 7qrst + 6x * 7qrst) = 21 (-63qrst + 42qrstx) = 21 Solving -63qrst + 42qrstx = 21 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -21 + -63qrst + 42qrstx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -63qrst + 42qrstx = 0 Factor out the Greatest Common Factor (GCF), '21'. 21(-1 + -3qrst + 2qrstx) = 0 Ignore the factor 21.Subproblem 1
Set the factor '(-1 + -3qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -1 + -3qrst + 2qrstx = 0 Solving -1 + -3qrst + 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 + -3qrst + 1 + 2qrstx = 0 + 1 Reorder the terms: -1 + 1 + -3qrst + 2qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3qrst + 2qrstx = 0 + 1 -3qrst + 2qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -3qrst + 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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