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Simplifying x2 + 2x + 15 = x + -3 Reorder the terms: 15 + 2x + x2 = x + -3 Reorder the terms: 15 + 2x + x2 = -3 + x Solving 15 + 2x + x2 = -3 + x Solving for variable 'x'. Reorder the terms: 15 + 3 + 2x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: 15 + 3 = 18 18 + 2x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: 2x + -1x = 1x 18 + 1x + x2 = -3 + x + 3 + -1x Reorder the terms: 18 + 1x + x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 18 + 1x + x2 = 0 + x + -1x 18 + 1x + x2 = x + -1x Combine like terms: x + -1x = 0 18 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 1x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 1x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1x + x2 = 0 + -18 1x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 1x + x2 = -18 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -18 + 0.25 Reorder the terms: 0.25 + x + x2 = -18 + 0.25 Combine like terms: -18 + 0.25 = -17.75 0.25 + x + x2 = -17.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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