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Simplifying 5.5x2 + -15x + 30.5 = 0 Reorder the terms: 30.5 + -15x + 5.5x2 = 0 Solving 30.5 + -15x + 5.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5.5 the coefficient of the squared term: Divide each side by '5.5'. 5.545454545 + -2.727272727x + x2 = 0 Move the constant term to the right: Add '-5.545454545' to each side of the equation. 5.545454545 + -2.727272727x + -5.545454545 + x2 = 0 + -5.545454545 Reorder the terms: 5.545454545 + -5.545454545 + -2.727272727x + x2 = 0 + -5.545454545 Combine like terms: 5.545454545 + -5.545454545 = 0.000000000 0.000000000 + -2.727272727x + x2 = 0 + -5.545454545 -2.727272727x + x2 = 0 + -5.545454545 Combine like terms: 0 + -5.545454545 = -5.545454545 -2.727272727x + x2 = -5.545454545 The x term is -2.727272727x. Take half its coefficient (-1.363636364). Square it (1.859504133) and add it to both sides. Add '1.859504133' to each side of the equation. -2.727272727x + 1.859504133 + x2 = -5.545454545 + 1.859504133 Reorder the terms: 1.859504133 + -2.727272727x + x2 = -5.545454545 + 1.859504133 Combine like terms: -5.545454545 + 1.859504133 = -3.685950412 1.859504133 + -2.727272727x + x2 = -3.685950412 Factor a perfect square on the left side: (x + -1.363636364)(x + -1.363636364) = -3.685950412 Can't calculate square root of the right side. The solution to this equation could not be determined.
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