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Simplifying 25x2 + 49 = 7x Reorder the terms: 49 + 25x2 = 7x Solving 49 + 25x2 = 7x Solving for variable 'x'. Reorder the terms: 49 + -7x + 25x2 = 7x + -7x Combine like terms: 7x + -7x = 0 49 + -7x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.96 + -0.28x + x2 = 0 Move the constant term to the right: Add '-1.96' to each side of the equation. 1.96 + -0.28x + -1.96 + x2 = 0 + -1.96 Reorder the terms: 1.96 + -1.96 + -0.28x + x2 = 0 + -1.96 Combine like terms: 1.96 + -1.96 = 0.00 0.00 + -0.28x + x2 = 0 + -1.96 -0.28x + x2 = 0 + -1.96 Combine like terms: 0 + -1.96 = -1.96 -0.28x + x2 = -1.96 The x term is -0.28x. Take half its coefficient (-0.14). Square it (0.0196) and add it to both sides. Add '0.0196' to each side of the equation. -0.28x + 0.0196 + x2 = -1.96 + 0.0196 Reorder the terms: 0.0196 + -0.28x + x2 = -1.96 + 0.0196 Combine like terms: -1.96 + 0.0196 = -1.9404 0.0196 + -0.28x + x2 = -1.9404 Factor a perfect square on the left side: (x + -0.14)(x + -0.14) = -1.9404 Can't calculate square root of the right side. The solution to this equation could not be determined.
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