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Simplifying x2 + 52x + 1840 = 0 Reorder the terms: 1840 + 52x + x2 = 0 Solving 1840 + 52x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1840' to each side of the equation. 1840 + 52x + -1840 + x2 = 0 + -1840 Reorder the terms: 1840 + -1840 + 52x + x2 = 0 + -1840 Combine like terms: 1840 + -1840 = 0 0 + 52x + x2 = 0 + -1840 52x + x2 = 0 + -1840 Combine like terms: 0 + -1840 = -1840 52x + x2 = -1840 The x term is 52x. Take half its coefficient (26). Square it (676) and add it to both sides. Add '676' to each side of the equation. 52x + 676 + x2 = -1840 + 676 Reorder the terms: 676 + 52x + x2 = -1840 + 676 Combine like terms: -1840 + 676 = -1164 676 + 52x + x2 = -1164 Factor a perfect square on the left side: (x + 26)(x + 26) = -1164 Can't calculate square root of the right side. The solution to this equation could not be determined.
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