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Simplifying (x2 + -4)(sqrt(6 + -2x)) = 0 Reorder the terms: (-4 + x2)(sqrt(6 + -2x)) = 0 (-4 + x2)((6 * qrst + -2x * qrst)) = 0 (-4 + x2)((6qrst + -2qrstx)) = 0 Multiply (-4 + x2) * (6qrst + -2qrstx) (-4(6qrst + -2qrstx) + x2(6qrst + -2qrstx)) = 0 ((6qrst * -4 + -2qrstx * -4) + x2(6qrst + -2qrstx)) = 0 ((-24qrst + 8qrstx) + x2(6qrst + -2qrstx)) = 0 (-24qrst + 8qrstx + (6qrst * x2 + -2qrstx * x2)) = 0 (-24qrst + 8qrstx + (6qrstx2 + -2qrstx3)) = 0 (-24qrst + 8qrstx + 6qrstx2 + -2qrstx3) = 0 Solving -24qrst + 8qrstx + 6qrstx2 + -2qrstx3 = 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), '2qrst'. 2qrst(-12 + 4x + 3x2 + -1x3) = 0 Ignore the factor 2.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 '(-12 + 4x + 3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -12 + 4x + 3x2 + -1x3 = 0 Solving -12 + 4x + 3x2 + -1x3 = 0 Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4x + 3x2 + 12 + -1x3 = 0 + 12 Reorder the terms: -12 + 12 + 4x + 3x2 + -1x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x + 3x2 + -1x3 = 0 + 12 4x + 3x2 + -1x3 = 0 + 12 Combine like terms: 0 + 12 = 12 4x + 3x2 + -1x3 = 12 Add '-4x' to each side of the equation. 4x + 3x2 + -4x + -1x3 = 12 + -4x Reorder the terms: 4x + -4x + 3x2 + -1x3 = 12 + -4x Combine like terms: 4x + -4x = 0 0 + 3x2 + -1x3 = 12 + -4x 3x2 + -1x3 = 12 + -4x Add '-3x2' to each side of the equation. 3x2 + -3x2 + -1x3 = 12 + -4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + -1x3 = 12 + -4x + -3x2 -1x3 = 12 + -4x + -3x2 Add 'x3' to each side of the equation. -1x3 + x3 = 12 + -4x + -3x2 + x3 Combine like terms: -1x3 + x3 = 0 0 = 12 + -4x + -3x2 + x3 Simplifying 0 = 12 + -4x + -3x2 + x3 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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