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Simplifying (x + -5)(x + -5) = -4 Reorder the terms: (-5 + x)(x + -5) = -4 Reorder the terms: (-5 + x)(-5 + x) = -4 Multiply (-5 + x) * (-5 + x) (-5(-5 + x) + x(-5 + x)) = -4 ((-5 * -5 + x * -5) + x(-5 + x)) = -4 ((25 + -5x) + x(-5 + x)) = -4 (25 + -5x + (-5 * x + x * x)) = -4 (25 + -5x + (-5x + x2)) = -4 Combine like terms: -5x + -5x = -10x (25 + -10x + x2) = -4 Solving 25 + -10x + x2 = -4 Solving for variable 'x'. Reorder the terms: 25 + 4 + -10x + x2 = -4 + 4 Combine like terms: 25 + 4 = 29 29 + -10x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 29 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -10x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -10x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10x + x2 = 0 + -29 -10x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -10x + x2 = -29 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -29 + 25 Reorder the terms: 25 + -10x + x2 = -29 + 25 Combine like terms: -29 + 25 = -4 25 + -10x + x2 = -4 Factor a perfect square on the left side: (x + -5)(x + -5) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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