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Simplifying x(x + -2) + 10 = -10 Reorder the terms: x(-2 + x) + 10 = -10 (-2 * x + x * x) + 10 = -10 (-2x + x2) + 10 = -10 Reorder the terms: 10 + -2x + x2 = -10 Solving 10 + -2x + x2 = -10 Solving for variable 'x'. Reorder the terms: 10 + 10 + -2x + x2 = -10 + 10 Combine like terms: 10 + 10 = 20 20 + -2x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 20 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -2x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -2x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2x + x2 = 0 + -20 -2x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -2x + x2 = -20 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 = -20 + 1 Reorder the terms: 1 + -2x + x2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + -2x + x2 = -19 Factor a perfect square on the left side: (x + -1)(x + -1) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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