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Simplifying 4.9x2 + 7.6x + 25 = 0 Reorder the terms: 25 + 7.6x + 4.9x2 = 0 Solving 25 + 7.6x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 5.102040816 + 1.551020408x + x2 = 0 Move the constant term to the right: Add '-5.102040816' to each side of the equation. 5.102040816 + 1.551020408x + -5.102040816 + x2 = 0 + -5.102040816 Reorder the terms: 5.102040816 + -5.102040816 + 1.551020408x + x2 = 0 + -5.102040816 Combine like terms: 5.102040816 + -5.102040816 = 0.000000000 0.000000000 + 1.551020408x + x2 = 0 + -5.102040816 1.551020408x + x2 = 0 + -5.102040816 Combine like terms: 0 + -5.102040816 = -5.102040816 1.551020408x + x2 = -5.102040816 The x term is 1.551020408x. Take half its coefficient (0.775510204). Square it (0.6014160765) and add it to both sides. Add '0.6014160765' to each side of the equation. 1.551020408x + 0.6014160765 + x2 = -5.102040816 + 0.6014160765 Reorder the terms: 0.6014160765 + 1.551020408x + x2 = -5.102040816 + 0.6014160765 Combine like terms: -5.102040816 + 0.6014160765 = -4.5006247395 0.6014160765 + 1.551020408x + x2 = -4.5006247395 Factor a perfect square on the left side: (x + 0.775510204)(x + 0.775510204) = -4.5006247395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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