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Simplifying 36x2 + 59x + 105 = 0 Reorder the terms: 105 + 59x + 36x2 = 0 Solving 105 + 59x + 36x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 2.916666667 + 1.638888889x + x2 = 0 Move the constant term to the right: Add '-2.916666667' to each side of the equation. 2.916666667 + 1.638888889x + -2.916666667 + x2 = 0 + -2.916666667 Reorder the terms: 2.916666667 + -2.916666667 + 1.638888889x + x2 = 0 + -2.916666667 Combine like terms: 2.916666667 + -2.916666667 = 0.000000000 0.000000000 + 1.638888889x + x2 = 0 + -2.916666667 1.638888889x + x2 = 0 + -2.916666667 Combine like terms: 0 + -2.916666667 = -2.916666667 1.638888889x + x2 = -2.916666667 The x term is 1.638888889x. Take half its coefficient (0.8194444445). Square it (0.6714891976) and add it to both sides. Add '0.6714891976' to each side of the equation. 1.638888889x + 0.6714891976 + x2 = -2.916666667 + 0.6714891976 Reorder the terms: 0.6714891976 + 1.638888889x + x2 = -2.916666667 + 0.6714891976 Combine like terms: -2.916666667 + 0.6714891976 = -2.2451774694 0.6714891976 + 1.638888889x + x2 = -2.2451774694 Factor a perfect square on the left side: (x + 0.8194444445)(x + 0.8194444445) = -2.2451774694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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