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Simplifying 25x2 + 14x + 49 = 0 Reorder the terms: 49 + 14x + 25x2 = 0 Solving 49 + 14x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.96 + 0.56x + x2 = 0 Move the constant term to the right: Add '-1.96' to each side of the equation. 1.96 + 0.56x + -1.96 + x2 = 0 + -1.96 Reorder the terms: 1.96 + -1.96 + 0.56x + x2 = 0 + -1.96 Combine like terms: 1.96 + -1.96 = 0.00 0.00 + 0.56x + x2 = 0 + -1.96 0.56x + x2 = 0 + -1.96 Combine like terms: 0 + -1.96 = -1.96 0.56x + x2 = -1.96 The x term is 0.56x. Take half its coefficient (0.28). Square it (0.0784) and add it to both sides. Add '0.0784' to each side of the equation. 0.56x + 0.0784 + x2 = -1.96 + 0.0784 Reorder the terms: 0.0784 + 0.56x + x2 = -1.96 + 0.0784 Combine like terms: -1.96 + 0.0784 = -1.8816 0.0784 + 0.56x + x2 = -1.8816 Factor a perfect square on the left side: (x + 0.28)(x + 0.28) = -1.8816 Can't calculate square root of the right side. The solution to this equation could not be determined.
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