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Simplifying 2x2 = 9x + -30 Reorder the terms: 2x2 = -30 + 9x Solving 2x2 = -30 + 9x Solving for variable 'x'. Reorder the terms: 30 + -9x + 2x2 = -30 + 9x + 30 + -9x Reorder the terms: 30 + -9x + 2x2 = -30 + 30 + 9x + -9x Combine like terms: -30 + 30 = 0 30 + -9x + 2x2 = 0 + 9x + -9x 30 + -9x + 2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 30 + -9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + -4.5x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -4.5x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -4.5x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4.5x + x2 = 0 + -15 -4.5x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4.5x + x2 = -15 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -15 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -15 + 5.0625 Combine like terms: -15 + 5.0625 = -9.9375 5.0625 + -4.5x + x2 = -9.9375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -9.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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