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Simplifying x2 + 3x + 18 = 9x + -9 Reorder the terms: 18 + 3x + x2 = 9x + -9 Reorder the terms: 18 + 3x + x2 = -9 + 9x Solving 18 + 3x + x2 = -9 + 9x Solving for variable 'x'. Reorder the terms: 18 + 9 + 3x + -9x + x2 = -9 + 9x + 9 + -9x Combine like terms: 18 + 9 = 27 27 + 3x + -9x + x2 = -9 + 9x + 9 + -9x Combine like terms: 3x + -9x = -6x 27 + -6x + x2 = -9 + 9x + 9 + -9x Reorder the terms: 27 + -6x + x2 = -9 + 9 + 9x + -9x Combine like terms: -9 + 9 = 0 27 + -6x + x2 = 0 + 9x + -9x 27 + -6x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 27 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -6x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + -6x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6x + x2 = 0 + -27 -6x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 -6x + x2 = -27 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 = -27 + 9 Reorder the terms: 9 + -6x + x2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + -6x + x2 = -18 Factor a perfect square on the left side: (x + -3)(x + -3) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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