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Simplifying 10x2 + 7x + 54 = 0 Reorder the terms: 54 + 7x + 10x2 = 0 Solving 54 + 7x + 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'. 5.4 + 0.7x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + 0.7x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + 0.7x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 0.7x + x2 = 0 + -5.4 0.7x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 0.7x + x2 = -5.4 The x term is 0.7x. Take half its coefficient (0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. 0.7x + 0.1225 + x2 = -5.4 + 0.1225 Reorder the terms: 0.1225 + 0.7x + x2 = -5.4 + 0.1225 Combine like terms: -5.4 + 0.1225 = -5.2775 0.1225 + 0.7x + x2 = -5.2775 Factor a perfect square on the left side: (x + 0.35)(x + 0.35) = -5.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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