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Simplifying 8x + -35 = x(4 + x) Reorder the terms: -35 + 8x = x(4 + x) -35 + 8x = (4 * x + x * x) -35 + 8x = (4x + x2) Solving -35 + 8x = 4x + x2 Solving for variable 'x'. Combine like terms: 8x + -4x = 4x -35 + 4x + -1x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -35 + 4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -35 + 4x + -1x2 = 0 + x2 + -1x2 -35 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -35 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 35 + -4x + x2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + -4x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + -4x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -4x + x2 = 0 + -35 -4x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -4x + x2 = -35 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -35 + 4 Reorder the terms: 4 + -4x + x2 = -35 + 4 Combine like terms: -35 + 4 = -31 4 + -4x + x2 = -31 Factor a perfect square on the left side: (x + -2)(x + -2) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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