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Simplifying 225000 = (50 + -1x)(x + -20) Reorder the terms: 225000 = (50 + -1x)(-20 + x) Multiply (50 + -1x) * (-20 + x) 225000 = (50(-20 + x) + -1x * (-20 + x)) 225000 = ((-20 * 50 + x * 50) + -1x * (-20 + x)) 225000 = ((-1000 + 50x) + -1x * (-20 + x)) 225000 = (-1000 + 50x + (-20 * -1x + x * -1x)) 225000 = (-1000 + 50x + (20x + -1x2)) Combine like terms: 50x + 20x = 70x 225000 = (-1000 + 70x + -1x2) Solving 225000 = -1000 + 70x + -1x2 Solving for variable 'x'. Combine like terms: 225000 + 1000 = 226000 226000 + -70x + x2 = -1000 + 70x + -1x2 + 1000 + -70x + x2 Reorder the terms: 226000 + -70x + x2 = -1000 + 1000 + 70x + -70x + -1x2 + x2 Combine like terms: -1000 + 1000 = 0 226000 + -70x + x2 = 0 + 70x + -70x + -1x2 + x2 226000 + -70x + x2 = 70x + -70x + -1x2 + x2 Combine like terms: 70x + -70x = 0 226000 + -70x + x2 = 0 + -1x2 + x2 226000 + -70x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 226000 + -70x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-226000' to each side of the equation. 226000 + -70x + -226000 + x2 = 0 + -226000 Reorder the terms: 226000 + -226000 + -70x + x2 = 0 + -226000 Combine like terms: 226000 + -226000 = 0 0 + -70x + x2 = 0 + -226000 -70x + x2 = 0 + -226000 Combine like terms: 0 + -226000 = -226000 -70x + x2 = -226000 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 = -226000 + 1225 Reorder the terms: 1225 + -70x + x2 = -226000 + 1225 Combine like terms: -226000 + 1225 = -224775 1225 + -70x + x2 = -224775 Factor a perfect square on the left side: (x + -35)(x + -35) = -224775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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