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Simplifying 4X2 + -20X + 26 = 0 Reorder the terms: 26 + -20X + 4X2 = 0 Solving 26 + -20X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(13 + -10X + 2X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -10X + 2X2)' equal to zero and attempt to solve: Simplifying 13 + -10X + 2X2 = 0 Solving 13 + -10X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + -5X + X2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -5X + -6.5 + X2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -5X + X2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -5X + X2 = 0 + -6.5 -5X + X2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -5X + X2 = -6.5 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 = -6.5 + 6.25 Reorder the terms: 6.25 + -5X + X2 = -6.5 + 6.25 Combine like terms: -6.5 + 6.25 = -0.25 6.25 + -5X + X2 = -0.25 Factor a perfect square on the left side: (X + -2.5)(X + -2.5) = -0.25 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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