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Simplifying x + (x + 1) + x(x + 2) = -240 Reorder the terms: x + (1 + x) + x(x + 2) = -240 Remove parenthesis around (1 + x) x + 1 + x + x(x + 2) = -240 Reorder the terms: x + 1 + x + x(2 + x) = -240 x + 1 + x + (2 * x + x * x) = -240 x + 1 + x + (2x + x2) = -240 Reorder the terms: 1 + x + x + 2x + x2 = -240 Combine like terms: x + x = 2x 1 + 2x + 2x + x2 = -240 Combine like terms: 2x + 2x = 4x 1 + 4x + x2 = -240 Solving 1 + 4x + x2 = -240 Solving for variable 'x'. Reorder the terms: 1 + 240 + 4x + x2 = -240 + 240 Combine like terms: 1 + 240 = 241 241 + 4x + x2 = -240 + 240 Combine like terms: -240 + 240 = 0 241 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-241' to each side of the equation. 241 + 4x + -241 + x2 = 0 + -241 Reorder the terms: 241 + -241 + 4x + x2 = 0 + -241 Combine like terms: 241 + -241 = 0 0 + 4x + x2 = 0 + -241 4x + x2 = 0 + -241 Combine like terms: 0 + -241 = -241 4x + x2 = -241 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -241 + 4 Reorder the terms: 4 + 4x + x2 = -241 + 4 Combine like terms: -241 + 4 = -237 4 + 4x + x2 = -237 Factor a perfect square on the left side: (x + 2)(x + 2) = -237 Can't calculate square root of the right side. The solution to this equation could not be determined.
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