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Simplifying x2 + -2x + 6 = -6x + -26 Reorder the terms: 6 + -2x + x2 = -6x + -26 Reorder the terms: 6 + -2x + x2 = -26 + -6x Solving 6 + -2x + x2 = -26 + -6x Solving for variable 'x'. Reorder the terms: 6 + 26 + -2x + 6x + x2 = -26 + -6x + 26 + 6x Combine like terms: 6 + 26 = 32 32 + -2x + 6x + x2 = -26 + -6x + 26 + 6x Combine like terms: -2x + 6x = 4x 32 + 4x + x2 = -26 + -6x + 26 + 6x Reorder the terms: 32 + 4x + x2 = -26 + 26 + -6x + 6x Combine like terms: -26 + 26 = 0 32 + 4x + x2 = 0 + -6x + 6x 32 + 4x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 32 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 4x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 4x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 4x + x2 = 0 + -32 4x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 4x + x2 = -32 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -32 + 4 Reorder the terms: 4 + 4x + x2 = -32 + 4 Combine like terms: -32 + 4 = -28 4 + 4x + x2 = -28 Factor a perfect square on the left side: (x + 2)(x + 2) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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