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Simplifying X9 + X8 + X7 = 0 Reorder the terms: X7 + X8 + X9 = 0 Solving X7 + X8 + X9 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X7'. X7(1 + X + X2) = 0Subproblem 1
Set the factor 'X7' equal to zero and attempt to solve: Simplifying X7 = 0 Solving X7 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X7 = 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 + X2)' equal to zero and attempt to solve: Simplifying 1 + X + X2 = 0 Solving 1 + X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + X + -1 + X2 = 0 + -1 Reorder the terms: 1 + -1 + X + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X + X2 = 0 + -1 X + X2 = 0 + -1 Combine like terms: 0 + -1 = -1 X + X2 = -1 The X term is X. 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. X + 0.25 + X2 = -1 + 0.25 Reorder the terms: 0.25 + X + X2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + X + X2 = -0.75 Factor a perfect square on the left side: (X + 0.5)(X + 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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