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Simplifying 50x2 + 1 = 10x Reorder the terms: 1 + 50x2 = 10x Solving 1 + 50x2 = 10x Solving for variable 'x'. Reorder the terms: 1 + -10x + 50x2 = 10x + -10x Combine like terms: 10x + -10x = 0 1 + -10x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.02 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.02' to each side of the equation. 0.02 + -0.2x + -0.02 + x2 = 0 + -0.02 Reorder the terms: 0.02 + -0.02 + -0.2x + x2 = 0 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.2x + x2 = 0 + -0.02 -0.2x + x2 = 0 + -0.02 Combine like terms: 0 + -0.02 = -0.02 -0.2x + x2 = -0.02 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 = -0.02 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.02 + 0.01 Combine like terms: -0.02 + 0.01 = -0.01 0.01 + -0.2x + x2 = -0.01 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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