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Simplifying 3 + 10x2 + 6x = 0 Reorder the terms: 3 + 6x + 10x2 = 0 Solving 3 + 6x + 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'. 0.3 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + 0.6x + -0.3 + x2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + 0.6x + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6x + x2 = 0 + -0.3 0.6x + x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 0.6x + x2 = -0.3 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.3 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.3 + 0.09 Combine like terms: -0.3 + 0.09 = -0.21 0.09 + 0.6x + x2 = -0.21 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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