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Simplifying x2 + 5x = 3x + -11 Reorder the terms: 5x + x2 = 3x + -11 Reorder the terms: 5x + x2 = -11 + 3x Solving 5x + x2 = -11 + 3x Solving for variable 'x'. Reorder the terms: 11 + 5x + -3x + x2 = -11 + 3x + 11 + -3x Combine like terms: 5x + -3x = 2x 11 + 2x + x2 = -11 + 3x + 11 + -3x Reorder the terms: 11 + 2x + x2 = -11 + 11 + 3x + -3x Combine like terms: -11 + 11 = 0 11 + 2x + x2 = 0 + 3x + -3x 11 + 2x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 11 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 2x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + 2x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x + x2 = 0 + -11 2x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 2x + x2 = -11 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -11 + 1 Reorder the terms: 1 + 2x + x2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + 2x + x2 = -10 Factor a perfect square on the left side: (x + 1)(x + 1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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