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Simplifying 0 = 1.5x2 + -9x + 1080 Reorder the terms: 0 = 1080 + -9x + 1.5x2 Solving 0 = 1080 + -9x + 1.5x2 Solving for variable 'x'. Combine like terms: 0 + -1080 = -1080 -1080 + 9x + -1.5x2 = 1080 + -9x + 1.5x2 + -1080 + 9x + -1.5x2 Reorder the terms: -1080 + 9x + -1.5x2 = 1080 + -1080 + -9x + 9x + 1.5x2 + -1.5x2 Combine like terms: 1080 + -1080 = 0 -1080 + 9x + -1.5x2 = 0 + -9x + 9x + 1.5x2 + -1.5x2 -1080 + 9x + -1.5x2 = -9x + 9x + 1.5x2 + -1.5x2 Combine like terms: -9x + 9x = 0 -1080 + 9x + -1.5x2 = 0 + 1.5x2 + -1.5x2 -1080 + 9x + -1.5x2 = 1.5x2 + -1.5x2 Combine like terms: 1.5x2 + -1.5x2 = 0.0 -1080 + 9x + -1.5x2 = 0.0 Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. 720 + -6x + x2 = 0 Move the constant term to the right: Add '-720' to each side of the equation. 720 + -6x + -720 + x2 = 0 + -720 Reorder the terms: 720 + -720 + -6x + x2 = 0 + -720 Combine like terms: 720 + -720 = 0 0 + -6x + x2 = 0 + -720 -6x + x2 = 0 + -720 Combine like terms: 0 + -720 = -720 -6x + x2 = -720 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -720 + 9 Reorder the terms: 9 + -6x + x2 = -720 + 9 Combine like terms: -720 + 9 = -711 9 + -6x + x2 = -711 Factor a perfect square on the left side: (x + -3)(x + -3) = -711 Can't calculate square root of the right side. The solution to this equation could not be determined.
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