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Simplifying (4 + -1x)(2 + x) = 34 Multiply (4 + -1x) * (2 + x) (4(2 + x) + -1x * (2 + x)) = 34 ((2 * 4 + x * 4) + -1x * (2 + x)) = 34 ((8 + 4x) + -1x * (2 + x)) = 34 (8 + 4x + (2 * -1x + x * -1x)) = 34 (8 + 4x + (-2x + -1x2)) = 34 Combine like terms: 4x + -2x = 2x (8 + 2x + -1x2) = 34 Solving 8 + 2x + -1x2 = 34 Solving for variable 'x'. Reorder the terms: 8 + -34 + 2x + -1x2 = 34 + -34 Combine like terms: 8 + -34 = -26 -26 + 2x + -1x2 = 34 + -34 Combine like terms: 34 + -34 = 0 -26 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 26 + -2x + x2 = 0 Move the constant term to the right: Add '-26' to each side of the equation. 26 + -2x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -2x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -2x + x2 = 0 + -26 -2x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -2x + x2 = -26 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 = -26 + 1 Reorder the terms: 1 + -2x + x2 = -26 + 1 Combine like terms: -26 + 1 = -25 1 + -2x + x2 = -25 Factor a perfect square on the left side: (x + -1)(x + -1) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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