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Simplifying sqrt(-1) * x2 + 2sqrt(-1) * x + sqrt(-1) = 0 Reorder the terms for easier multiplication: -1qrst * x2 + 2sqrt(-1) * x + sqrt(-1) = 0 Multiply qrst * x2 -1qrstx2 + 2sqrt(-1) * x + sqrt(-1) = 0 Reorder the terms for easier multiplication: -1qrstx2 + 2 * -1qrst * x + sqrt(-1) = 0 Multiply 2 * -1 -1qrstx2 + -2qrst * x + sqrt(-1) = 0 Multiply qrst * x -1qrstx2 + -2qrstx + sqrt(-1) = 0 Reorder the terms for easier multiplication: -1qrstx2 + -2qrstx + -1qrst = 0 Reorder the terms: -1qrst + -2qrstx + -1qrstx2 = 0 Solving -1qrst + -2qrstx + -1qrstx2 = 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), '-1qrst'. -1qrst(1 + 2x + x2) = 0 Factor a trinomial. -1qrst((1 + x)(1 + x)) = 0 Ignore the factor -1.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.Subproblem 3
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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