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Simplifying 2x2 + -5x + 3(x + 3) = 0 Reorder the terms: 2x2 + -5x + 3(3 + x) = 0 2x2 + -5x + (3 * 3 + x * 3) = 0 2x2 + -5x + (9 + 3x) = 0 Reorder the terms: 9 + -5x + 3x + 2x2 = 0 Combine like terms: -5x + 3x = -2x 9 + -2x + 2x2 = 0 Solving 9 + -2x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + -1x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -1x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -1x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1x + x2 = 0 + -4.5 -1x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -1x + x2 = -4.5 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -4.5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -4.5 + 0.25 Combine like terms: -4.5 + 0.25 = -4.25 0.25 + -1x + x2 = -4.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -4.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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