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Simplifying 6x2 + 32x + 63 = 0 Reorder the terms: 63 + 32x + 6x2 = 0 Solving 63 + 32x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 10.5 + 5.333333333x + x2 = 0 Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + 5.333333333x + -10.5 + x2 = 0 + -10.5 Reorder the terms: 10.5 + -10.5 + 5.333333333x + x2 = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 5.333333333x + x2 = 0 + -10.5 5.333333333x + x2 = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 5.333333333x + x2 = -10.5 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 = -10.5 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333x + x2 = -10.5 + 7.111111113 Combine like terms: -10.5 + 7.111111113 = -3.388888887 7.111111113 + 5.333333333x + x2 = -3.388888887 Factor a perfect square on the left side: (x + 2.666666667)(x + 2.666666667) = -3.388888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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