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Simplifying 16x2 + -70x + 91 = 0 Reorder the terms: 91 + -70x + 16x2 = 0 Solving 91 + -70x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5.6875 + -4.375x + x2 = 0 Move the constant term to the right: Add '-5.6875' to each side of the equation. 5.6875 + -4.375x + -5.6875 + x2 = 0 + -5.6875 Reorder the terms: 5.6875 + -5.6875 + -4.375x + x2 = 0 + -5.6875 Combine like terms: 5.6875 + -5.6875 = 0.0000 0.0000 + -4.375x + x2 = 0 + -5.6875 -4.375x + x2 = 0 + -5.6875 Combine like terms: 0 + -5.6875 = -5.6875 -4.375x + x2 = -5.6875 The x term is -4.375x. Take half its coefficient (-2.1875). Square it (4.78515625) and add it to both sides. Add '4.78515625' to each side of the equation. -4.375x + 4.78515625 + x2 = -5.6875 + 4.78515625 Reorder the terms: 4.78515625 + -4.375x + x2 = -5.6875 + 4.78515625 Combine like terms: -5.6875 + 4.78515625 = -0.90234375 4.78515625 + -4.375x + x2 = -0.90234375 Factor a perfect square on the left side: (x + -2.1875)(x + -2.1875) = -0.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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