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Simplifying 5x2 = 28x + -49 Reorder the terms: 5x2 = -49 + 28x Solving 5x2 = -49 + 28x Solving for variable 'x'. Reorder the terms: 49 + -28x + 5x2 = -49 + 28x + 49 + -28x Reorder the terms: 49 + -28x + 5x2 = -49 + 49 + 28x + -28x Combine like terms: -49 + 49 = 0 49 + -28x + 5x2 = 0 + 28x + -28x 49 + -28x + 5x2 = 28x + -28x Combine like terms: 28x + -28x = 0 49 + -28x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9.8 + -5.6x + x2 = 0 Move the constant term to the right: Add '-9.8' to each side of the equation. 9.8 + -5.6x + -9.8 + x2 = 0 + -9.8 Reorder the terms: 9.8 + -9.8 + -5.6x + x2 = 0 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -5.6x + x2 = 0 + -9.8 -5.6x + x2 = 0 + -9.8 Combine like terms: 0 + -9.8 = -9.8 -5.6x + x2 = -9.8 The x term is -5.6x. Take half its coefficient (-2.8). Square it (7.84) and add it to both sides. Add '7.84' to each side of the equation. -5.6x + 7.84 + x2 = -9.8 + 7.84 Reorder the terms: 7.84 + -5.6x + x2 = -9.8 + 7.84 Combine like terms: -9.8 + 7.84 = -1.96 7.84 + -5.6x + x2 = -1.96 Factor a perfect square on the left side: (x + -2.8)(x + -2.8) = -1.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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