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Simplifying 9x2 + -3x + 2 + x2 + -4x = 0 Reorder the terms: 2 + -3x + -4x + 9x2 + x2 = 0 Combine like terms: -3x + -4x = -7x 2 + -7x + 9x2 + x2 = 0 Combine like terms: 9x2 + x2 = 10x2 2 + -7x + 10x2 = 0 Solving 2 + -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'. 0.2 + -0.7x + x2 = 0.0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.7x + -0.2 + x2 = 0.0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.7x + x2 = 0.0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.7x + x2 = 0.0 + -0.2 -0.7x + x2 = 0.0 + -0.2 Combine like terms: 0.0 + -0.2 = -0.2 -0.7x + x2 = -0.2 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 = -0.2 + 0.1225 Reorder the terms: 0.1225 + -0.7x + x2 = -0.2 + 0.1225 Combine like terms: -0.2 + 0.1225 = -0.0775 0.1225 + -0.7x + x2 = -0.0775 Factor a perfect square on the left side: (x + -0.35)(x + -0.35) = -0.0775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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