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Simplifying 17 = x[-3(x + 1)] Reorder the terms: 17 = x[-3(1 + x)] 17 = x[(1 * -3 + x * -3)] 17 = x[(-3 + -3x)] 17 = [-3 * x + -3x * x] 17 = [-3x + -3x2] Solving 17 = -3x + -3x2 Solving for variable 'x'. Reorder the terms: 17 + 3x + 3x2 = -3x + 3x + -3x2 + 3x2 Combine like terms: -3x + 3x = 0 17 + 3x + 3x2 = 0 + -3x2 + 3x2 17 + 3x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 17 + 3x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5.666666667 + x + x2 = 0 Move the constant term to the right: Add '-5.666666667' to each side of the equation. 5.666666667 + x + -5.666666667 + x2 = 0 + -5.666666667 Reorder the terms: 5.666666667 + -5.666666667 + x + x2 = 0 + -5.666666667 Combine like terms: 5.666666667 + -5.666666667 = 0.000000000 0.000000000 + x + x2 = 0 + -5.666666667 x + x2 = 0 + -5.666666667 Combine like terms: 0 + -5.666666667 = -5.666666667 x + x2 = -5.666666667 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -5.666666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -5.666666667 + 0.25 Combine like terms: -5.666666667 + 0.25 = -5.416666667 1.25 + x2 = -5.416666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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