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Simplifying 3x2 = 9x + -290 Reorder the terms: 3x2 = -290 + 9x Solving 3x2 = -290 + 9x Solving for variable 'x'. Reorder the terms: 290 + -9x + 3x2 = -290 + 9x + 290 + -9x Reorder the terms: 290 + -9x + 3x2 = -290 + 290 + 9x + -9x Combine like terms: -290 + 290 = 0 290 + -9x + 3x2 = 0 + 9x + -9x 290 + -9x + 3x2 = 9x + -9x Combine like terms: 9x + -9x = 0 290 + -9x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 96.66666667 + -3x + x2 = 0 Move the constant term to the right: Add '-96.66666667' to each side of the equation. 96.66666667 + -3x + -96.66666667 + x2 = 0 + -96.66666667 Reorder the terms: 96.66666667 + -96.66666667 + -3x + x2 = 0 + -96.66666667 Combine like terms: 96.66666667 + -96.66666667 = 0.00000000 0.00000000 + -3x + x2 = 0 + -96.66666667 -3x + x2 = 0 + -96.66666667 Combine like terms: 0 + -96.66666667 = -96.66666667 -3x + x2 = -96.66666667 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -96.66666667 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -96.66666667 + 2.25 Combine like terms: -96.66666667 + 2.25 = -94.41666667 2.25 + -3x + x2 = -94.41666667 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -94.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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