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Simplifying X6 + X3 + -5 = 0 Reorder the terms: -5 + X3 + X6 = 0 Solving -5 + X3 + X6 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + X3 + 5 + X6 = 0 + 5 Reorder the terms: -5 + 5 + X3 + X6 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X3 + X6 = 0 + 5 X3 + X6 = 0 + 5 Combine like terms: 0 + 5 = 5 X3 + X6 = 5 The X term is X3. 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. X3 + 0.25 + X6 = 5 + 0.25 Reorder the terms: 0.25 + X3 + X6 = 5 + 0.25 Combine like terms: 5 + 0.25 = 5.25 0.25 + X3 + X6 = 5.25 Factor a perfect square on the left side: (X3 + 0.5)(X3 + 0.5) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (X3 + 0.5) equal to 2.291287847 and -2.291287847.Subproblem 1
X3 + 0.5 = 2.291287847 Simplifying X3 + 0.5 = 2.291287847 Reorder the terms: 0.5 + X3 = 2.291287847 Solving 0.5 + X3 = 2.291287847 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + X3 = 2.291287847 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + X3 = 2.291287847 + -0.5 X3 = 2.291287847 + -0.5 Combine like terms: 2.291287847 + -0.5 = 1.791287847 X3 = 1.791287847 Simplifying X3 = 1.791287847 Reorder the terms: -1.791287847 + X3 = 1.791287847 + -1.791287847 Combine like terms: 1.791287847 + -1.791287847 = 0.000000000 -1.791287847 + X3 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
X3 + 0.5 = -2.291287847 Simplifying X3 + 0.5 = -2.291287847 Reorder the terms: 0.5 + X3 = -2.291287847 Solving 0.5 + X3 = -2.291287847 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + X3 = -2.291287847 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + X3 = -2.291287847 + -0.5 X3 = -2.291287847 + -0.5 Combine like terms: -2.291287847 + -0.5 = -2.791287847 X3 = -2.791287847 Simplifying X3 = -2.791287847 Reorder the terms: 2.791287847 + X3 = -2.791287847 + 2.791287847 Combine like terms: -2.791287847 + 2.791287847 = 0.000000000 2.791287847 + X3 = 0.000000000 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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