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Simplifying 0.01x2 + -0.22x + 2.9 = 0 Reorder the terms: 2.9 + -0.22x + 0.01x2 = 0 Solving 2.9 + -0.22x + 0.01x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.01 the coefficient of the squared term: Divide each side by '0.01'. 290 + -22x + x2 = 0 Move the constant term to the right: Add '-290' to each side of the equation. 290 + -22x + -290 + x2 = 0 + -290 Reorder the terms: 290 + -290 + -22x + x2 = 0 + -290 Combine like terms: 290 + -290 = 0 0 + -22x + x2 = 0 + -290 -22x + x2 = 0 + -290 Combine like terms: 0 + -290 = -290 -22x + x2 = -290 The x term is -22x. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22x + 121 + x2 = -290 + 121 Reorder the terms: 121 + -22x + x2 = -290 + 121 Combine like terms: -290 + 121 = -169 121 + -22x + x2 = -169 Factor a perfect square on the left side: (x + -11)(x + -11) = -169 Can't calculate square root of the right side. The solution to this equation could not be determined.
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