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Simplifying x2 + 3x + 18 = 5x + 11 Reorder the terms: 18 + 3x + x2 = 5x + 11 Reorder the terms: 18 + 3x + x2 = 11 + 5x Solving 18 + 3x + x2 = 11 + 5x Solving for variable 'x'. Reorder the terms: 18 + -11 + 3x + -5x + x2 = 11 + 5x + -11 + -5x Combine like terms: 18 + -11 = 7 7 + 3x + -5x + x2 = 11 + 5x + -11 + -5x Combine like terms: 3x + -5x = -2x 7 + -2x + x2 = 11 + 5x + -11 + -5x Reorder the terms: 7 + -2x + x2 = 11 + -11 + 5x + -5x Combine like terms: 11 + -11 = 0 7 + -2x + x2 = 0 + 5x + -5x 7 + -2x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x + x2 = 0 + -7 -2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x + x2 = -7 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 = -7 + 1 Reorder the terms: 1 + -2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + -2x + x2 = -6 Factor a perfect square on the left side: (x + -1)(x + -1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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