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Simplifying 5x + 8888 + x(x + -65) = 1 Reorder the terms: 5x + 8888 + x(-65 + x) = 1 5x + 8888 + (-65 * x + x * x) = 1 5x + 8888 + (-65x + x2) = 1 Reorder the terms: 8888 + 5x + -65x + x2 = 1 Combine like terms: 5x + -65x = -60x 8888 + -60x + x2 = 1 Solving 8888 + -60x + x2 = 1 Solving for variable 'x'. Reorder the terms: 8888 + -1 + -60x + x2 = 1 + -1 Combine like terms: 8888 + -1 = 8887 8887 + -60x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 8887 + -60x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8887' to each side of the equation. 8887 + -60x + -8887 + x2 = 0 + -8887 Reorder the terms: 8887 + -8887 + -60x + x2 = 0 + -8887 Combine like terms: 8887 + -8887 = 0 0 + -60x + x2 = 0 + -8887 -60x + x2 = 0 + -8887 Combine like terms: 0 + -8887 = -8887 -60x + x2 = -8887 The x term is -60x. Take half its coefficient (-30). Square it (900) and add it to both sides. Add '900' to each side of the equation. -60x + 900 + x2 = -8887 + 900 Reorder the terms: 900 + -60x + x2 = -8887 + 900 Combine like terms: -8887 + 900 = -7987 900 + -60x + x2 = -7987 Factor a perfect square on the left side: (x + -30)(x + -30) = -7987 Can't calculate square root of the right side. The solution to this equation could not be determined.
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