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Simplifying 5x2 + 20x = -28 Reorder the terms: 20x + 5x2 = -28 Solving 20x + 5x2 = -28 Solving for variable 'x'. Reorder the terms: 28 + 20x + 5x2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + 20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.6 + 4x + x2 = 0 Move the constant term to the right: Add '-5.6' to each side of the equation. 5.6 + 4x + -5.6 + x2 = 0 + -5.6 Reorder the terms: 5.6 + -5.6 + 4x + x2 = 0 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 4x + x2 = 0 + -5.6 4x + x2 = 0 + -5.6 Combine like terms: 0 + -5.6 = -5.6 4x + x2 = -5.6 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -5.6 + 4 Reorder the terms: 4 + 4x + x2 = -5.6 + 4 Combine like terms: -5.6 + 4 = -1.6 4 + 4x + x2 = -1.6 Factor a perfect square on the left side: (x + 2)(x + 2) = -1.6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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