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Simplifying x(x + -11) = x + -49 Reorder the terms: x(-11 + x) = x + -49 (-11 * x + x * x) = x + -49 (-11x + x2) = x + -49 Reorder the terms: -11x + x2 = -49 + x Solving -11x + x2 = -49 + x Solving for variable 'x'. Reorder the terms: 49 + -11x + -1x + x2 = -49 + x + 49 + -1x Combine like terms: -11x + -1x = -12x 49 + -12x + x2 = -49 + x + 49 + -1x Reorder the terms: 49 + -12x + x2 = -49 + 49 + x + -1x Combine like terms: -49 + 49 = 0 49 + -12x + x2 = 0 + x + -1x 49 + -12x + x2 = x + -1x Combine like terms: x + -1x = 0 49 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -12x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -12x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -12x + x2 = 0 + -49 -12x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -12x + x2 = -49 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -49 + 36 Reorder the terms: 36 + -12x + x2 = -49 + 36 Combine like terms: -49 + 36 = -13 36 + -12x + x2 = -13 Factor a perfect square on the left side: (x + -6)(x + -6) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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