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Simplifying 9x = 18 + 4.5x2 Solving 9x = 18 + 4.5x2 Solving for variable 'x'. Reorder the terms: -18 + 9x + -4.5x2 = 18 + 4.5x2 + -18 + -4.5x2 Reorder the terms: -18 + 9x + -4.5x2 = 18 + -18 + 4.5x2 + -4.5x2 Combine like terms: 18 + -18 = 0 -18 + 9x + -4.5x2 = 0 + 4.5x2 + -4.5x2 -18 + 9x + -4.5x2 = 4.5x2 + -4.5x2 Combine like terms: 4.5x2 + -4.5x2 = 0.0 -18 + 9x + -4.5x2 = 0.0 Begin completing the square. Divide all terms by -4.5 the coefficient of the squared term: Divide each side by '-4.5'. 4 + -2x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + x2 = 0 + -4 -2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + x2 = -4 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -4 + 1 Reorder the terms: 1 + -2x + x2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2x + x2 = -3 Factor a perfect square on the left side: (x + -1)(x + -1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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