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Simplifying (x + 7)(x + 7) = -25 Reorder the terms: (7 + x)(x + 7) = -25 Reorder the terms: (7 + x)(7 + x) = -25 Multiply (7 + x) * (7 + x) (7(7 + x) + x(7 + x)) = -25 ((7 * 7 + x * 7) + x(7 + x)) = -25 ((49 + 7x) + x(7 + x)) = -25 (49 + 7x + (7 * x + x * x)) = -25 (49 + 7x + (7x + x2)) = -25 Combine like terms: 7x + 7x = 14x (49 + 14x + x2) = -25 Solving 49 + 14x + x2 = -25 Solving for variable 'x'. Reorder the terms: 49 + 25 + 14x + x2 = -25 + 25 Combine like terms: 49 + 25 = 74 74 + 14x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 74 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 14x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 14x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 14x + x2 = 0 + -74 14x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 14x + x2 = -74 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 = -74 + 49 Reorder the terms: 49 + 14x + x2 = -74 + 49 Combine like terms: -74 + 49 = -25 49 + 14x + x2 = -25 Factor a perfect square on the left side: (x + 7)(x + 7) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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