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Simplifying (x + -3)(x + 3) = x(x + -2) + x(x + -3) Reorder the terms: (-3 + x)(x + 3) = x(x + -2) + x(x + -3) Reorder the terms: (-3 + x)(3 + x) = x(x + -2) + x(x + -3) Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = x(x + -2) + x(x + -3) ((3 * -3 + x * -3) + x(3 + x)) = x(x + -2) + x(x + -3) ((-9 + -3x) + x(3 + x)) = x(x + -2) + x(x + -3) (-9 + -3x + (3 * x + x * x)) = x(x + -2) + x(x + -3) (-9 + -3x + (3x + x2)) = x(x + -2) + x(x + -3) Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = x(x + -2) + x(x + -3) (-9 + x2) = x(x + -2) + x(x + -3) Reorder the terms: -9 + x2 = x(-2 + x) + x(x + -3) -9 + x2 = (-2 * x + x * x) + x(x + -3) -9 + x2 = (-2x + x2) + x(x + -3) Reorder the terms: -9 + x2 = -2x + x2 + x(-3 + x) -9 + x2 = -2x + x2 + (-3 * x + x * x) -9 + x2 = -2x + x2 + (-3x + x2) Reorder the terms: -9 + x2 = -2x + -3x + x2 + x2 Combine like terms: -2x + -3x = -5x -9 + x2 = -5x + x2 + x2 Combine like terms: x2 + x2 = 2x2 -9 + x2 = -5x + 2x2 Solving -9 + x2 = -5x + 2x2 Solving for variable 'x'. Reorder the terms: -9 + 5x + x2 + -2x2 = -5x + 2x2 + 5x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -9 + 5x + -1x2 = -5x + 2x2 + 5x + -2x2 Reorder the terms: -9 + 5x + -1x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 -9 + 5x + -1x2 = 0 + 2x2 + -2x2 -9 + 5x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x + x2 = 0 + -9 -5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5x + x2 = -9 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -9 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + -5x + x2 = -2.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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