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Simplifying 16x2 + -26x + 220 = 0 Reorder the terms: 220 + -26x + 16x2 = 0 Solving 220 + -26x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(110 + -13x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(110 + -13x + 8x2)' equal to zero and attempt to solve: Simplifying 110 + -13x + 8x2 = 0 Solving 110 + -13x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 13.75 + -1.625x + x2 = 0 Move the constant term to the right: Add '-13.75' to each side of the equation. 13.75 + -1.625x + -13.75 + x2 = 0 + -13.75 Reorder the terms: 13.75 + -13.75 + -1.625x + x2 = 0 + -13.75 Combine like terms: 13.75 + -13.75 = 0.00 0.00 + -1.625x + x2 = 0 + -13.75 -1.625x + x2 = 0 + -13.75 Combine like terms: 0 + -13.75 = -13.75 -1.625x + x2 = -13.75 The x term is -1.625x. Take half its coefficient (-0.8125). Square it (0.66015625) and add it to both sides. Add '0.66015625' to each side of the equation. -1.625x + 0.66015625 + x2 = -13.75 + 0.66015625 Reorder the terms: 0.66015625 + -1.625x + x2 = -13.75 + 0.66015625 Combine like terms: -13.75 + 0.66015625 = -13.08984375 0.66015625 + -1.625x + x2 = -13.08984375 Factor a perfect square on the left side: (x + -0.8125)(x + -0.8125) = -13.08984375 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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