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Simplifying 2x + x2 + 3(4) + 17 = 0 Multiply 3 * 4 2x + x2 + 12 + 17 = 0 Reorder the terms: 12 + 17 + 2x + x2 = 0 Combine like terms: 12 + 17 = 29 29 + 2x + x2 = 0 Solving 29 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 2x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + 2x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2x + x2 = 0 + -29 2x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 2x + x2 = -29 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 = -29 + 1 Reorder the terms: 1 + 2x + x2 = -29 + 1 Combine like terms: -29 + 1 = -28 1 + 2x + x2 = -28 Factor a perfect square on the left side: (x + 1)(x + 1) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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