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Simplifying (x + -2x)(x + -3) = 20 Combine like terms: x + -2x = -1x (-1x)(x + -3) = 20 Remove parenthesis around (-1x) -1x(x + -3) = 20 Reorder the terms: -1x(-3 + x) = 20 (-3 * -1x + x * -1x) = 20 (3x + -1x2) = 20 Solving 3x + -1x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 3x + -1x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -3x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -3x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -3x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x + x2 = 0 + -20 -3x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -3x + x2 = -20 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 = -20 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -20 + 2.25 Combine like terms: -20 + 2.25 = -17.75 2.25 + -3x + x2 = -17.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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