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Simplifying 21x2 + -22x + 10 = 0 Reorder the terms: 10 + -22x + 21x2 = 0 Solving 10 + -22x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.4761904762 + -1.047619048x + x2 = 0 Move the constant term to the right: Add '-0.4761904762' to each side of the equation. 0.4761904762 + -1.047619048x + -0.4761904762 + x2 = 0 + -0.4761904762 Reorder the terms: 0.4761904762 + -0.4761904762 + -1.047619048x + x2 = 0 + -0.4761904762 Combine like terms: 0.4761904762 + -0.4761904762 = 0.0000000000 0.0000000000 + -1.047619048x + x2 = 0 + -0.4761904762 -1.047619048x + x2 = 0 + -0.4761904762 Combine like terms: 0 + -0.4761904762 = -0.4761904762 -1.047619048x + x2 = -0.4761904762 The x term is -1.047619048x. Take half its coefficient (-0.523809524). Square it (0.2743764174) and add it to both sides. Add '0.2743764174' to each side of the equation. -1.047619048x + 0.2743764174 + x2 = -0.4761904762 + 0.2743764174 Reorder the terms: 0.2743764174 + -1.047619048x + x2 = -0.4761904762 + 0.2743764174 Combine like terms: -0.4761904762 + 0.2743764174 = -0.2018140588 0.2743764174 + -1.047619048x + x2 = -0.2018140588 Factor a perfect square on the left side: (x + -0.523809524)(x + -0.523809524) = -0.2018140588 Can't calculate square root of the right side. The solution to this equation could not be determined.
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