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Simplifying 2X2 + -26X = -98 Reorder the terms: -26X + 2X2 = -98 Solving -26X + 2X2 = -98 Solving for variable 'X'. Reorder the terms: 98 + -26X + 2X2 = -98 + 98 Combine like terms: -98 + 98 = 0 98 + -26X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -13X + X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(49 + -13X + X2)' equal to zero and attempt to solve: Simplifying 49 + -13X + X2 = 0 Solving 49 + -13X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -13X + -49 + X2 = 0 + -49 Reorder the terms: 49 + -49 + -13X + X2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -13X + X2 = 0 + -49 -13X + X2 = 0 + -49 Combine like terms: 0 + -49 = -49 -13X + X2 = -49 The X term is -13X. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13X + 42.25 + X2 = -49 + 42.25 Reorder the terms: 42.25 + -13X + X2 = -49 + 42.25 Combine like terms: -49 + 42.25 = -6.75 42.25 + -13X + X2 = -6.75 Factor a perfect square on the left side: (X + -6.5)(X + -6.5) = -6.75 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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