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Simplifying x2 + 3x + 18 = -3x Reorder the terms: 18 + 3x + x2 = -3x Solving 18 + 3x + x2 = -3x Solving for variable 'x'. Reorder the terms: 18 + 3x + 3x + x2 = -3x + 3x Combine like terms: 3x + 3x = 6x 18 + 6x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 18 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 6x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 6x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x + x2 = 0 + -18 6x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 6x + x2 = -18 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -18 + 9 Reorder the terms: 9 + 6x + x2 = -18 + 9 Combine like terms: -18 + 9 = -9 9 + 6x + x2 = -9 Factor a perfect square on the left side: (x + 3)(x + 3) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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