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Simplifying 3sqr(x + 5) = 2sqr(7 + -2x) Reorder the terms: 3qrs(5 + x) = 2sqr(7 + -2x) (5 * 3qrs + x * 3qrs) = 2sqr(7 + -2x) (15qrs + 3qrsx) = 2sqr(7 + -2x) 15qrs + 3qrsx = (7 * 2qrs + -2x * 2qrs) 15qrs + 3qrsx = (14qrs + -4qrsx) Solving 15qrs + 3qrsx = 14qrs + -4qrsx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14qrs' to each side of the equation. 15qrs + -14qrs + 3qrsx = 14qrs + -14qrs + -4qrsx Combine like terms: 15qrs + -14qrs = 1qrs 1qrs + 3qrsx = 14qrs + -14qrs + -4qrsx Combine like terms: 14qrs + -14qrs = 0 1qrs + 3qrsx = 0 + -4qrsx 1qrs + 3qrsx = -4qrsx Add '4qrsx' to each side of the equation. 1qrs + 3qrsx + 4qrsx = -4qrsx + 4qrsx Combine like terms: 3qrsx + 4qrsx = 7qrsx 1qrs + 7qrsx = -4qrsx + 4qrsx Combine like terms: -4qrsx + 4qrsx = 0 1qrs + 7qrsx = 0 Factor out the Greatest Common Factor (GCF), 'qrs'. qrs(1 + 7x) = 0Subproblem 1
Set the factor 'qrs' equal to zero and attempt to solve: Simplifying qrs = 0 Solving qrs = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrs = 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 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Add '-7x' to each side of the equation. 7x + -7x = -1 + -7x Combine like terms: 7x + -7x = 0 0 = -1 + -7x Simplifying 0 = -1 + -7x 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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