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Simplifying 4x2 + 26x + 53 = 0 Reorder the terms: 53 + 26x + 4x2 = 0 Solving 53 + 26x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 13.25 + 6.5x + x2 = 0 Move the constant term to the right: Add '-13.25' to each side of the equation. 13.25 + 6.5x + -13.25 + x2 = 0 + -13.25 Reorder the terms: 13.25 + -13.25 + 6.5x + x2 = 0 + -13.25 Combine like terms: 13.25 + -13.25 = 0.00 0.00 + 6.5x + x2 = 0 + -13.25 6.5x + x2 = 0 + -13.25 Combine like terms: 0 + -13.25 = -13.25 6.5x + x2 = -13.25 The x term is 6.5x. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5x + 10.5625 + x2 = -13.25 + 10.5625 Reorder the terms: 10.5625 + 6.5x + x2 = -13.25 + 10.5625 Combine like terms: -13.25 + 10.5625 = -2.6875 10.5625 + 6.5x + x2 = -2.6875 Factor a perfect square on the left side: (x + 3.25)(x + 3.25) = -2.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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