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Simplifying 10x2 + -3x + 20 = 0 Reorder the terms: 20 + -3x + 10x2 = 0 Solving 20 + -3x + 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'. 2 + -0.3x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.3x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.3x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3x + x2 = 0 + -2 -0.3x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.3x + x2 = -2 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -2 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -2 + 0.0225 Combine like terms: -2 + 0.0225 = -1.9775 0.0225 + -0.3x + x2 = -1.9775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -1.9775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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