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Simplifying 10x2 + 23x + 120 = 0 Reorder the terms: 120 + 23x + 10x2 = 0 Solving 120 + 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'. 12 + 2.3x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2.3x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 2.3x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2.3x + x2 = 0 + -12 2.3x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 2.3x + x2 = -12 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 = -12 + 1.3225 Reorder the terms: 1.3225 + 2.3x + x2 = -12 + 1.3225 Combine like terms: -12 + 1.3225 = -10.6775 1.3225 + 2.3x + x2 = -10.6775 Factor a perfect square on the left side: (x + 1.15)(x + 1.15) = -10.6775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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