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Simplifying x2 + 9x2 + 23x + 15 = 0 Reorder the terms: 15 + 23x + x2 + 9x2 = 0 Combine like terms: x2 + 9x2 = 10x2 15 + 23x + 10x2 = 0 Solving 15 + 23x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.5 + 2.3x + x2 = 0.0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 2.3x + -1.5 + x2 = 0.0 + -1.5 Reorder the terms: 1.5 + -1.5 + 2.3x + x2 = 0.0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2.3x + x2 = 0.0 + -1.5 2.3x + x2 = 0.0 + -1.5 Combine like terms: 0.0 + -1.5 = -1.5 2.3x + x2 = -1.5 The x term is 2.3x. Take half its coefficient (1.15). Square it (1.3225) and add it to both sides. Add '1.3225' to each side of the equation. 2.3x + 1.3225 + x2 = -1.5 + 1.3225 Reorder the terms: 1.3225 + 2.3x + x2 = -1.5 + 1.3225 Combine like terms: -1.5 + 1.3225 = -0.1775 1.3225 + 2.3x + x2 = -0.1775 Factor a perfect square on the left side: (x + 1.15)(x + 1.15) = -0.1775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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