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Simplifying 90x + -1.5x2 = 1200000 Solving 90x + -1.5x2 = 1200000 Solving for variable 'x'. Reorder the terms: -1200000 + 90x + -1.5x2 = 1200000 + -1200000 Combine like terms: 1200000 + -1200000 = 0 -1200000 + 90x + -1.5x2 = 0 Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. 800000 + -60x + x2 = 0 Move the constant term to the right: Add '-800000' to each side of the equation. 800000 + -60x + -800000 + x2 = 0 + -800000 Reorder the terms: 800000 + -800000 + -60x + x2 = 0 + -800000 Combine like terms: 800000 + -800000 = 0 0 + -60x + x2 = 0 + -800000 -60x + x2 = 0 + -800000 Combine like terms: 0 + -800000 = -800000 -60x + x2 = -800000 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 = -800000 + 900 Reorder the terms: 900 + -60x + x2 = -800000 + 900 Combine like terms: -800000 + 900 = -799100 900 + -60x + x2 = -799100 Factor a perfect square on the left side: (x + -30)(x + -30) = -799100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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