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Simplifying 2x(x + 5) = -15 Reorder the terms: 2x(5 + x) = -15 (5 * 2x + x * 2x) = -15 (10x + 2x2) = -15 Solving 10x + 2x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 10x + 2x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 10x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 5x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 5x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 5x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 5x + x2 = 0 + -7.5 5x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 5x + x2 = -7.5 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -7.5 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -7.5 + 6.25 Combine like terms: -7.5 + 6.25 = -1.25 6.25 + 5x + x2 = -1.25 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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