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Simplifying sqrt(6 + -1x) * sqrt(6 + -1x) * 2 = 0 Reorder the terms for easier multiplication: 2qrst * qrst(6 + -1x)(6 + -1x) = 0 Multiply qrst * qrst 2q2r2s2t2(6 + -1x)(6 + -1x) = 0 Multiply (6 + -1x) * (6 + -1x) 2q2r2s2t2(6(6 + -1x) + -1x * (6 + -1x)) = 0 2q2r2s2t2((6 * 6 + -1x * 6) + -1x * (6 + -1x)) = 0 2q2r2s2t2((36 + -6x) + -1x * (6 + -1x)) = 0 2q2r2s2t2(36 + -6x + (6 * -1x + -1x * -1x)) = 0 2q2r2s2t2(36 + -6x + (-6x + 1x2)) = 0 Combine like terms: -6x + -6x = -12x 2q2r2s2t2(36 + -12x + 1x2) = 0 (36 * 2q2r2s2t2 + -12x * 2q2r2s2t2 + 1x2 * 2q2r2s2t2) = 0 (72q2r2s2t2 + -24q2r2s2t2x + 2q2r2s2t2x2) = 0 Solving 72q2r2s2t2 + -24q2r2s2t2x + 2q2r2s2t2x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2q2r2s2t2'. 2q2r2s2t2(36 + -12x + x2) = 0 Factor a trinomial. 2q2r2s2t2((6 + -1x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'q2r2s2t2' equal to zero and attempt to solve: Simplifying q2r2s2t2 = 0 Solving q2r2s2t2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2r2s2t2 = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x 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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