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Simplifying x2 + 70x + 6000 = 0 Reorder the terms: 6000 + 70x + x2 = 0 Solving 6000 + 70x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6000' to each side of the equation. 6000 + 70x + -6000 + x2 = 0 + -6000 Reorder the terms: 6000 + -6000 + 70x + x2 = 0 + -6000 Combine like terms: 6000 + -6000 = 0 0 + 70x + x2 = 0 + -6000 70x + x2 = 0 + -6000 Combine like terms: 0 + -6000 = -6000 70x + x2 = -6000 The x term is 70x. Take half its coefficient (35). Square it (1225) and add it to both sides. Add '1225' to each side of the equation. 70x + 1225 + x2 = -6000 + 1225 Reorder the terms: 1225 + 70x + x2 = -6000 + 1225 Combine like terms: -6000 + 1225 = -4775 1225 + 70x + x2 = -4775 Factor a perfect square on the left side: (x + 35)(x + 35) = -4775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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