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Simplifying 10x2 + 18x + 67 = 0 Reorder the terms: 67 + 18x + 10x2 = 0 Solving 67 + 18x + 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'. 6.7 + 1.8x + x2 = 0 Move the constant term to the right: Add '-6.7' to each side of the equation. 6.7 + 1.8x + -6.7 + x2 = 0 + -6.7 Reorder the terms: 6.7 + -6.7 + 1.8x + x2 = 0 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + 1.8x + x2 = 0 + -6.7 1.8x + x2 = 0 + -6.7 Combine like terms: 0 + -6.7 = -6.7 1.8x + x2 = -6.7 The x term is 1.8x. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8x + 0.81 + x2 = -6.7 + 0.81 Reorder the terms: 0.81 + 1.8x + x2 = -6.7 + 0.81 Combine like terms: -6.7 + 0.81 = -5.89 0.81 + 1.8x + x2 = -5.89 Factor a perfect square on the left side: (x + 0.9)(x + 0.9) = -5.89 Can't calculate square root of the right side. The solution to this equation could not be determined.
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