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Simplifying x2 + 34x + 323 = 0 Reorder the terms: 323 + 34x + x2 = 0 Solving 323 + 34x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-323' to each side of the equation. 323 + 34x + -323 + x2 = 0 + -323 Reorder the terms: 323 + -323 + 34x + x2 = 0 + -323 Combine like terms: 323 + -323 = 0 0 + 34x + x2 = 0 + -323 34x + x2 = 0 + -323 Combine like terms: 0 + -323 = -323 34x + x2 = -323 The x term is 34x. Take half its coefficient (17). Square it (289) and add it to both sides. Add '289' to each side of the equation. 34x + 289 + x2 = -323 + 289 Reorder the terms: 289 + 34x + x2 = -323 + 289 Combine like terms: -323 + 289 = -34 289 + 34x + x2 = -34 Factor a perfect square on the left side: (x + 17)(x + 17) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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