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Simplifying 25x2 + 40x + 28 = 0 Reorder the terms: 28 + 40x + 25x2 = 0 Solving 28 + 40x + 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'. 1.12 + 1.6x + x2 = 0 Move the constant term to the right: Add '-1.12' to each side of the equation. 1.12 + 1.6x + -1.12 + x2 = 0 + -1.12 Reorder the terms: 1.12 + -1.12 + 1.6x + x2 = 0 + -1.12 Combine like terms: 1.12 + -1.12 = 0.00 0.00 + 1.6x + x2 = 0 + -1.12 1.6x + x2 = 0 + -1.12 Combine like terms: 0 + -1.12 = -1.12 1.6x + x2 = -1.12 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = -1.12 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -1.12 + 0.64 Combine like terms: -1.12 + 0.64 = -0.48 0.64 + 1.6x + x2 = -0.48 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -0.48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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