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Simplifying x2 + 5x + 15 = -4 Reorder the terms: 15 + 5x + x2 = -4 Solving 15 + 5x + x2 = -4 Solving for variable 'x'. Reorder the terms: 15 + 4 + 5x + x2 = -4 + 4 Combine like terms: 15 + 4 = 19 19 + 5x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 19 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 5x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 5x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x + x2 = 0 + -19 5x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 5x + x2 = -19 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 = -19 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -19 + 6.25 Combine like terms: -19 + 6.25 = -12.75 6.25 + 5x + x2 = -12.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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