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Simplifying 10x2 = 3x + -1 Reorder the terms: 10x2 = -1 + 3x Solving 10x2 = -1 + 3x Solving for variable 'x'. Reorder the terms: 1 + -3x + 10x2 = -1 + 3x + 1 + -3x Reorder the terms: 1 + -3x + 10x2 = -1 + 1 + 3x + -3x Combine like terms: -1 + 1 = 0 1 + -3x + 10x2 = 0 + 3x + -3x 1 + -3x + 10x2 = 3x + -3x Combine like terms: 3x + -3x = 0 1 + -3x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + -0.3x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.3x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.3x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.3x + x2 = 0 + -0.1 -0.3x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.3x + x2 = -0.1 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 = -0.1 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -0.1 + 0.0225 Combine like terms: -0.1 + 0.0225 = -0.0775 0.0225 + -0.3x + x2 = -0.0775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -0.0775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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