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Simplifying -1x(x + -4) + 2x = 34 Reorder the terms: -1x(-4 + x) + 2x = 34 (-4 * -1x + x * -1x) + 2x = 34 (4x + -1x2) + 2x = 34 Reorder the terms: 4x + 2x + -1x2 = 34 Combine like terms: 4x + 2x = 6x 6x + -1x2 = 34 Solving 6x + -1x2 = 34 Solving for variable 'x'. Reorder the terms: -34 + 6x + -1x2 = 34 + -34 Combine like terms: 34 + -34 = 0 -34 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 34 + -6x + x2 = 0 Move the constant term to the right: Add '-34' to each side of the equation. 34 + -6x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + -6x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -6x + x2 = 0 + -34 -6x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 -6x + x2 = -34 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -34 + 9 Reorder the terms: 9 + -6x + x2 = -34 + 9 Combine like terms: -34 + 9 = -25 9 + -6x + x2 = -25 Factor a perfect square on the left side: (x + -3)(x + -3) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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