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Simplifying -5x(2x + -1) = 5 + x Reorder the terms: -5x(-1 + 2x) = 5 + x (-1 * -5x + 2x * -5x) = 5 + x (5x + -10x2) = 5 + x Solving 5x + -10x2 = 5 + x Solving for variable 'x'. Reorder the terms: -5 + 5x + -1x + -10x2 = 5 + x + -5 + -1x Combine like terms: 5x + -1x = 4x -5 + 4x + -10x2 = 5 + x + -5 + -1x Reorder the terms: -5 + 4x + -10x2 = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 -5 + 4x + -10x2 = 0 + x + -1x -5 + 4x + -10x2 = x + -1x Combine like terms: x + -1x = 0 -5 + 4x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.5 + -0.4x + x2 = 0.0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.4x + -0.5 + x2 = 0.0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.4x + x2 = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4x + x2 = 0.0 + -0.5 -0.4x + x2 = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.4x + x2 = -0.5 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.5 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.5 + 0.04 Combine like terms: -0.5 + 0.04 = -0.46 0.04 + -0.4x + x2 = -0.46 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.46 Can't calculate square root of the right side. The solution to this equation could not be determined.
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