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Simplifying 10x2 = -1 + 2x Solving 10x2 = -1 + 2x Solving for variable 'x'. Reorder the terms: 1 + -2x + 10x2 = -1 + 2x + 1 + -2x Reorder the terms: 1 + -2x + 10x2 = -1 + 1 + 2x + -2x Combine like terms: -1 + 1 = 0 1 + -2x + 10x2 = 0 + 2x + -2x 1 + -2x + 10x2 = 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.2x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.2x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.2x + x2 = 0 + -0.1 -0.2x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.2x + x2 = -0.1 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.1 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.1 + 0.01 Combine like terms: -0.1 + 0.01 = -0.09 0.01 + -0.2x + x2 = -0.09 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.09 Can't calculate square root of the right side. The solution to this equation could not be determined.
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