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