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Simplifying x(x + -1) + -5(x + -2) = 0 Reorder the terms: x(-1 + x) + -5(x + -2) = 0 (-1 * x + x * x) + -5(x + -2) = 0 (-1x + x2) + -5(x + -2) = 0 Reorder the terms: -1x + x2 + -5(-2 + x) = 0 -1x + x2 + (-2 * -5 + x * -5) = 0 -1x + x2 + (10 + -5x) = 0 Reorder the terms: 10 + -1x + -5x + x2 = 0 Combine like terms: -1x + -5x = -6x 10 + -6x + x2 = 0 Solving 10 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6x + x2 = 0 + -10 -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6x + x2 = -10 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 = -10 + 9 Reorder the terms: 9 + -6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6x + x2 = -1 Factor a perfect square on the left side: (x + -3)(x + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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