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Simplifying sqrt(4x + 1) = sqrt(x + 10) Reorder the terms: qrst(1 + 4x) = sqrt(x + 10) (1 * qrst + 4x * qrst) = sqrt(x + 10) (1qrst + 4qrstx) = sqrt(x + 10) Reorder the terms: 1qrst + 4qrstx = qrst(10 + x) 1qrst + 4qrstx = (10 * qrst + x * qrst) 1qrst + 4qrstx = (10qrst + qrstx) Solving 1qrst + 4qrstx = 10qrst + qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrst' to each side of the equation. 1qrst + -10qrst + 4qrstx = 10qrst + -10qrst + qrstx Combine like terms: 1qrst + -10qrst = -9qrst -9qrst + 4qrstx = 10qrst + -10qrst + qrstx Combine like terms: 10qrst + -10qrst = 0 -9qrst + 4qrstx = 0 + qrstx -9qrst + 4qrstx = qrstx Add '-1qrstx' to each side of the equation. -9qrst + 4qrstx + -1qrstx = qrstx + -1qrstx Combine like terms: 4qrstx + -1qrstx = 3qrstx -9qrst + 3qrstx = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -9qrst + 3qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-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. The solution to this equation could not be determined.
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