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Simplifying (x + -1x3 + x5)(3x2 + 3x6 + 3x4) = 0 Reorder the terms: (x + -1x3 + x5)(3x2 + 3x4 + 3x6) = 0 Multiply (x + -1x3 + x5) * (3x2 + 3x4 + 3x6) (x(3x2 + 3x4 + 3x6) + -1x3 * (3x2 + 3x4 + 3x6) + x5(3x2 + 3x4 + 3x6)) = 0 ((3x2 * x + 3x4 * x + 3x6 * x) + -1x3 * (3x2 + 3x4 + 3x6) + x5(3x2 + 3x4 + 3x6)) = 0 ((3x3 + 3x5 + 3x7) + -1x3 * (3x2 + 3x4 + 3x6) + x5(3x2 + 3x4 + 3x6)) = 0 (3x3 + 3x5 + 3x7 + (3x2 * -1x3 + 3x4 * -1x3 + 3x6 * -1x3) + x5(3x2 + 3x4 + 3x6)) = 0 (3x3 + 3x5 + 3x7 + (-3x5 + -3x7 + -3x9) + x5(3x2 + 3x4 + 3x6)) = 0 (3x3 + 3x5 + 3x7 + -3x5 + -3x7 + -3x9 + (3x2 * x5 + 3x4 * x5 + 3x6 * x5)) = 0 (3x3 + 3x5 + 3x7 + -3x5 + -3x7 + -3x9 + (3x7 + 3x9 + 3x11)) = 0 Reorder the terms: (3x3 + 3x5 + -3x5 + 3x7 + -3x7 + 3x7 + -3x9 + 3x9 + 3x11) = 0 Combine like terms: 3x5 + -3x5 = 0 (3x3 + 0 + 3x7 + -3x7 + 3x7 + -3x9 + 3x9 + 3x11) = 0 (3x3 + 3x7 + -3x7 + 3x7 + -3x9 + 3x9 + 3x11) = 0 Combine like terms: 3x7 + -3x7 = 0 (3x3 + 0 + 3x7 + -3x9 + 3x9 + 3x11) = 0 (3x3 + 3x7 + -3x9 + 3x9 + 3x11) = 0 Combine like terms: -3x9 + 3x9 = 0 (3x3 + 3x7 + 0 + 3x11) = 0 (3x3 + 3x7 + 3x11) = 0 Solving 3x3 + 3x7 + 3x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(1 + x4 + x8) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 + x4 + x8)' equal to zero and attempt to solve: Simplifying 1 + x4 + x8 = 0 Solving 1 + x4 + x8 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + x4 + -1 + x8 = 0 + -1 Reorder the terms: 1 + -1 + x4 + x8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x4 + x8 = 0 + -1 x4 + x8 = 0 + -1 Combine like terms: 0 + -1 = -1 x4 + x8 = -1 The x term is x4. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x4 + 0.25 + x8 = -1 + 0.25 Reorder the terms: 0.25 + x4 + x8 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + x4 + x8 = -0.75 Factor a perfect square on the left side: (x4 + 0.5)(x4 + 0.5) = -0.75 Can't calculate square root of the right side. 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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