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Simplifying 3x2 + 7x + 40 = 0 Reorder the terms: 40 + 7x + 3x2 = 0 Solving 40 + 7x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13.33333333 + 2.333333333x + x2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + 2.333333333x + -13.33333333 + x2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + 2.333333333x + x2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + 2.333333333x + x2 = 0 + -13.33333333 2.333333333x + x2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 2.333333333x + x2 = -13.33333333 The x term is 2.333333333x. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333x + 1.361111112 + x2 = -13.33333333 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333x + x2 = -13.33333333 + 1.361111112 Combine like terms: -13.33333333 + 1.361111112 = -11.972222218 1.361111112 + 2.333333333x + x2 = -11.972222218 Factor a perfect square on the left side: (x + 1.166666667)(x + 1.166666667) = -11.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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