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Simplifying 16x2 + -64x + 65 = 0 Reorder the terms: 65 + -64x + 16x2 = 0 Solving 65 + -64x + 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'. 4.0625 + -4x + x2 = 0 Move the constant term to the right: Add '-4.0625' to each side of the equation. 4.0625 + -4x + -4.0625 + x2 = 0 + -4.0625 Reorder the terms: 4.0625 + -4.0625 + -4x + x2 = 0 + -4.0625 Combine like terms: 4.0625 + -4.0625 = 0.0000 0.0000 + -4x + x2 = 0 + -4.0625 -4x + x2 = 0 + -4.0625 Combine like terms: 0 + -4.0625 = -4.0625 -4x + x2 = -4.0625 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.0625 + 4 Reorder the terms: 4 + -4x + x2 = -4.0625 + 4 Combine like terms: -4.0625 + 4 = -0.0625 4 + -4x + x2 = -0.0625 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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