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Simplifying x2 + 6.25x + 21.5 = 0 Reorder the terms: 21.5 + 6.25x + x2 = 0 Solving 21.5 + 6.25x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-21.5' to each side of the equation. 21.5 + 6.25x + -21.5 + x2 = 0 + -21.5 Reorder the terms: 21.5 + -21.5 + 6.25x + x2 = 0 + -21.5 Combine like terms: 21.5 + -21.5 = 0.0 0.0 + 6.25x + x2 = 0 + -21.5 6.25x + x2 = 0 + -21.5 Combine like terms: 0 + -21.5 = -21.5 6.25x + x2 = -21.5 The x term is 6.25x. Take half its coefficient (3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. 6.25x + 9.765625 + x2 = -21.5 + 9.765625 Reorder the terms: 9.765625 + 6.25x + x2 = -21.5 + 9.765625 Combine like terms: -21.5 + 9.765625 = -11.734375 9.765625 + 6.25x + x2 = -11.734375 Factor a perfect square on the left side: (x + 3.125)(x + 3.125) = -11.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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