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Simplifying sqrt(3X2) = sqrt(27) Remove parenthesis around (3X2) qrst * 3X2 = sqrt(27) Reorder the terms for easier multiplication: 3qrst * X2 = sqrt(27) Multiply qrst * X2 3qrstX2 = sqrt(27) Reorder the terms for easier multiplication: 3qrstX2 = 27qrst Solving 3qrstX2 = 27qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-27qrst' to each side of the equation. -27qrst + 3qrstX2 = 27qrst + -27qrst Combine like terms: 27qrst + -27qrst = 0 -27qrst + 3qrstX2 = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-9 + X2) = 0 Factor a difference between two squares. 3qrst((3 + X)(-3 + X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Add '-1X' to each side of the equation. X + -1X = -3 + -1X Combine like terms: X + -1X = 0 0 = -3 + -1X Simplifying 0 = -3 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-3 + X)' equal to zero and attempt to solve: Simplifying -3 + X = 0 Solving -3 + X = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X = 0 + 3 X = 0 + 3 Combine like terms: 0 + 3 = 3 X = 3 Add '-1X' to each side of the equation. X + -1X = 3 + -1X Combine like terms: X + -1X = 0 0 = 3 + -1X Simplifying 0 = 3 + -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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