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Simplifying 0 = sqrt(x) * sqrt(x + 1) Reorder the terms: 0 = qrst * x * qrst(1 + x) Multiply qrst * x 0 = qrstx * qrst(1 + x) Multiply qrstx * qrst 0 = q2r2s2t2x(1 + x) 0 = (1 * q2r2s2t2x + x * q2r2s2t2x) 0 = (1q2r2s2t2x + q2r2s2t2x2) Solving 0 = 1q2r2s2t2x + q2r2s2t2x2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q2r2s2t2x' to each side of the equation. 0 + -1q2r2s2t2x = 1q2r2s2t2x + -1q2r2s2t2x + q2r2s2t2x2 Remove the zero: -1q2r2s2t2x = 1q2r2s2t2x + -1q2r2s2t2x + q2r2s2t2x2 Combine like terms: 1q2r2s2t2x + -1q2r2s2t2x = 0 -1q2r2s2t2x = 0 + q2r2s2t2x2 -1q2r2s2t2x = q2r2s2t2x2 Add '-1q2r2s2t2x2' to each side of the equation. -1q2r2s2t2x + -1q2r2s2t2x2 = q2r2s2t2x2 + -1q2r2s2t2x2 Combine like terms: q2r2s2t2x2 + -1q2r2s2t2x2 = 0 -1q2r2s2t2x + -1q2r2s2t2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1q2r2s2t2x'. -1q2r2s2t2x(1 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'q2r2s2t2x' equal to zero and attempt to solve: Simplifying q2r2s2t2x = 0 Solving q2r2s2t2x = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2r2s2t2x = 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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