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Simplifying X7 + 2X5 + 5X3 = 0 Reorder the terms: 5X3 + 2X5 + X7 = 0 Solving 5X3 + 2X5 + X7 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X3'. X3(5 + 2X2 + X4) = 0Subproblem 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 '(5 + 2X2 + X4)' equal to zero and attempt to solve: Simplifying 5 + 2X2 + X4 = 0 Solving 5 + 2X2 + X4 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2X2 + -5 + X4 = 0 + -5 Reorder the terms: 5 + -5 + 2X2 + X4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2X2 + X4 = 0 + -5 2X2 + X4 = 0 + -5 Combine like terms: 0 + -5 = -5 2X2 + X4 = -5 The X term is 2X2. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2X2 + 1 + X4 = -5 + 1 Reorder the terms: 1 + 2X2 + X4 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + 2X2 + X4 = -4 Factor a perfect square on the left side: (X2 + 1)(X2 + 1) = -4 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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