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Simplifying (27 + -1x3) * sqrt(2 + -1x) = 0 Reorder the terms for easier multiplication: qrst(27 + -1x3)(2 + -1x) = 0 Multiply (27 + -1x3) * (2 + -1x) qrst(27(2 + -1x) + -1x3 * (2 + -1x)) = 0 qrst((2 * 27 + -1x * 27) + -1x3 * (2 + -1x)) = 0 qrst((54 + -27x) + -1x3 * (2 + -1x)) = 0 qrst(54 + -27x + (2 * -1x3 + -1x * -1x3)) = 0 qrst(54 + -27x + (-2x3 + 1x4)) = 0 qrst(54 + -27x + -2x3 + 1x4) = 0 (54 * qrst + -27x * qrst + -2x3 * qrst + 1x4 * qrst) = 0 (54qrst + -27qrstx + -2qrstx3 + 1qrstx4) = 0 Solving 54qrst + -27qrstx + -2qrstx3 + 1qrstx4 = 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), 'qrst'. qrst(54 + -27x + -2x3 + x4) = 0Subproblem 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 '(54 + -27x + -2x3 + x4)' equal to zero and attempt to solve: Simplifying 54 + -27x + -2x3 + x4 = 0 Solving 54 + -27x + -2x3 + x4 = 0 Move all terms containing q to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -27x + -2x3 + -54 + x4 = 0 + -54 Reorder the terms: 54 + -54 + -27x + -2x3 + x4 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -27x + -2x3 + x4 = 0 + -54 -27x + -2x3 + x4 = 0 + -54 Combine like terms: 0 + -54 = -54 -27x + -2x3 + x4 = -54 Add '27x' to each side of the equation. -27x + -2x3 + 27x + x4 = -54 + 27x Reorder the terms: -27x + 27x + -2x3 + x4 = -54 + 27x Combine like terms: -27x + 27x = 0 0 + -2x3 + x4 = -54 + 27x -2x3 + x4 = -54 + 27x Add '2x3' to each side of the equation. -2x3 + 2x3 + x4 = -54 + 27x + 2x3 Combine like terms: -2x3 + 2x3 = 0 0 + x4 = -54 + 27x + 2x3 x4 = -54 + 27x + 2x3 Add '-1x4' to each side of the equation. x4 + -1x4 = -54 + 27x + 2x3 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = -54 + 27x + 2x3 + -1x4 Simplifying 0 = -54 + 27x + 2x3 + -1x4 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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