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Simplifying 3x2 + 16x + 336 = 0 Reorder the terms: 336 + 16x + 3x2 = 0 Solving 336 + 16x + 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'. 112 + 5.333333333x + x2 = 0 Move the constant term to the right: Add '-112' to each side of the equation. 112 + 5.333333333x + -112 + x2 = 0 + -112 Reorder the terms: 112 + -112 + 5.333333333x + x2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 5.333333333x + x2 = 0 + -112 5.333333333x + x2 = 0 + -112 Combine like terms: 0 + -112 = -112 5.333333333x + x2 = -112 The x term is 5.333333333x. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333x + 7.111111113 + x2 = -112 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333x + x2 = -112 + 7.111111113 Combine like terms: -112 + 7.111111113 = -104.888888887 7.111111113 + 5.333333333x + x2 = -104.888888887 Factor a perfect square on the left side: (x + 2.666666667)(x + 2.666666667) = -104.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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