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Simplifying x2 = 6x + -19 Reorder the terms: x2 = -19 + 6x Solving x2 = -19 + 6x Solving for variable 'x'. Reorder the terms: 19 + -6x + x2 = -19 + 6x + 19 + -6x Reorder the terms: 19 + -6x + x2 = -19 + 19 + 6x + -6x Combine like terms: -19 + 19 = 0 19 + -6x + x2 = 0 + 6x + -6x 19 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 19 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -6x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -6x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6x + x2 = 0 + -19 -6x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -6x + x2 = -19 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 = -19 + 9 Reorder the terms: 9 + -6x + x2 = -19 + 9 Combine like terms: -19 + 9 = -10 9 + -6x + x2 = -10 Factor a perfect square on the left side: (x + -3)(x + -3) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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