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Simplifying 0 = 10x2 + -2x + 3 Reorder the terms: 0 = 3 + -2x + 10x2 Solving 0 = 3 + -2x + 10x2 Solving for variable 'x'. Combine like terms: 0 + -3 = -3 -3 + 2x + -10x2 = 3 + -2x + 10x2 + -3 + 2x + -10x2 Reorder the terms: -3 + 2x + -10x2 = 3 + -3 + -2x + 2x + 10x2 + -10x2 Combine like terms: 3 + -3 = 0 -3 + 2x + -10x2 = 0 + -2x + 2x + 10x2 + -10x2 -3 + 2x + -10x2 = -2x + 2x + 10x2 + -10x2 Combine like terms: -2x + 2x = 0 -3 + 2x + -10x2 = 0 + 10x2 + -10x2 -3 + 2x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -3 + 2x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.3 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.2x + -0.3 + x2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.2x + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.2x + x2 = 0 + -0.3 -0.2x + x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.2x + x2 = -0.3 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 = -0.3 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.3 + 0.01 Combine like terms: -0.3 + 0.01 = -0.29 0.01 + -0.2x + x2 = -0.29 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.29 Can't calculate square root of the right side. The solution to this equation could not be determined.
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