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Simplifying x2 + 14x = -51 Reorder the terms: 14x + x2 = -51 Solving 14x + x2 = -51 Solving for variable 'x'. Reorder the terms: 51 + 14x + x2 = -51 + 51 Combine like terms: -51 + 51 = 0 51 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + 14x + -51 + x2 = 0 + -51 Reorder the terms: 51 + -51 + 14x + x2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 14x + x2 = 0 + -51 14x + x2 = 0 + -51 Combine like terms: 0 + -51 = -51 14x + x2 = -51 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -51 + 49 Reorder the terms: 49 + 14x + x2 = -51 + 49 Combine like terms: -51 + 49 = -2 49 + 14x + x2 = -2 Factor a perfect square on the left side: (x + 7)(x + 7) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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