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Simplifying -5x(x + -1) = 5(1 + -1x) + 1 Reorder the terms: -5x(-1 + x) = 5(1 + -1x) + 1 (-1 * -5x + x * -5x) = 5(1 + -1x) + 1 (5x + -5x2) = 5(1 + -1x) + 1 5x + -5x2 = (1 * 5 + -1x * 5) + 1 5x + -5x2 = (5 + -5x) + 1 Reorder the terms: 5x + -5x2 = 5 + 1 + -5x Combine like terms: 5 + 1 = 6 5x + -5x2 = 6 + -5x Solving 5x + -5x2 = 6 + -5x Solving for variable 'x'. Reorder the terms: -6 + 5x + 5x + -5x2 = 6 + -5x + -6 + 5x Combine like terms: 5x + 5x = 10x -6 + 10x + -5x2 = 6 + -5x + -6 + 5x Reorder the terms: -6 + 10x + -5x2 = 6 + -6 + -5x + 5x Combine like terms: 6 + -6 = 0 -6 + 10x + -5x2 = 0 + -5x + 5x -6 + 10x + -5x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 10x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -2x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -2x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -2x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2x + x2 = 0 + -1.2 -2x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -2x + x2 = -1.2 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 = -1.2 + 1 Reorder the terms: 1 + -2x + x2 = -1.2 + 1 Combine like terms: -1.2 + 1 = -0.2 1 + -2x + x2 = -0.2 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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