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Simplifying 9x2 + 17x + 21 = 0 Reorder the terms: 21 + 17x + 9x2 = 0 Solving 21 + 17x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.333333333 + 1.888888889x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 1.888888889x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 1.888888889x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 1.888888889x + x2 = 0 + -2.333333333 1.888888889x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 1.888888889x + x2 = -2.333333333 The x term is 1.888888889x. Take half its coefficient (0.9444444445). Square it (0.8919753087) and add it to both sides. Add '0.8919753087' to each side of the equation. 1.888888889x + 0.8919753087 + x2 = -2.333333333 + 0.8919753087 Reorder the terms: 0.8919753087 + 1.888888889x + x2 = -2.333333333 + 0.8919753087 Combine like terms: -2.333333333 + 0.8919753087 = -1.4413580243 0.8919753087 + 1.888888889x + x2 = -1.4413580243 Factor a perfect square on the left side: (x + 0.9444444445)(x + 0.9444444445) = -1.4413580243 Can't calculate square root of the right side. The solution to this equation could not be determined.
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