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Simplifying 10X2 + -15X + 26 = 0 Reorder the terms: 26 + -15X + 10X2 = 0 Solving 26 + -15X + 10X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.6 + -1.5X + X2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -1.5X + -2.6 + X2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -1.5X + X2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -1.5X + X2 = 0 + -2.6 -1.5X + X2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -1.5X + X2 = -2.6 The X term is -1.5X. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5X + 0.5625 + X2 = -2.6 + 0.5625 Reorder the terms: 0.5625 + -1.5X + X2 = -2.6 + 0.5625 Combine like terms: -2.6 + 0.5625 = -2.0375 0.5625 + -1.5X + X2 = -2.0375 Factor a perfect square on the left side: (X + -0.75)(X + -0.75) = -2.0375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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