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Simplifying 16x2 + 1 = 7x Reorder the terms: 1 + 16x2 = 7x Solving 1 + 16x2 = 7x Solving for variable 'x'. Reorder the terms: 1 + -7x + 16x2 = 7x + -7x Combine like terms: 7x + -7x = 0 1 + -7x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -0.4375x + x2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.4375x + -0.0625 + x2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.4375x + x2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.4375x + x2 = 0 + -0.0625 -0.4375x + x2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.4375x + x2 = -0.0625 The x term is -0.4375x. Take half its coefficient (-0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. -0.4375x + 0.0478515625 + x2 = -0.0625 + 0.0478515625 Reorder the terms: 0.0478515625 + -0.4375x + x2 = -0.0625 + 0.0478515625 Combine like terms: -0.0625 + 0.0478515625 = -0.0146484375 0.0478515625 + -0.4375x + x2 = -0.0146484375 Factor a perfect square on the left side: (x + -0.21875)(x + -0.21875) = -0.0146484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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