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Simplifying 2X2 + -10X + 800 = 0 Reorder the terms: 800 + -10X + 2X2 = 0 Solving 800 + -10X + 2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(400 + -5X + X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(400 + -5X + X2)' equal to zero and attempt to solve: Simplifying 400 + -5X + X2 = 0 Solving 400 + -5X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + -5X + -400 + X2 = 0 + -400 Reorder the terms: 400 + -400 + -5X + X2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -5X + X2 = 0 + -400 -5X + X2 = 0 + -400 Combine like terms: 0 + -400 = -400 -5X + X2 = -400 The X term is -5X. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5X + 6.25 + X2 = -400 + 6.25 Reorder the terms: 6.25 + -5X + X2 = -400 + 6.25 Combine like terms: -400 + 6.25 = -393.75 6.25 + -5X + X2 = -393.75 Factor a perfect square on the left side: (X + -2.5)(X + -2.5) = -393.75 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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