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Simplifying x2 + -8x + 6 = -100 Reorder the terms: 6 + -8x + x2 = -100 Solving 6 + -8x + x2 = -100 Solving for variable 'x'. Reorder the terms: 6 + 100 + -8x + x2 = -100 + 100 Combine like terms: 6 + 100 = 106 106 + -8x + x2 = -100 + 100 Combine like terms: -100 + 100 = 0 106 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-106' to each side of the equation. 106 + -8x + -106 + x2 = 0 + -106 Reorder the terms: 106 + -106 + -8x + x2 = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -8x + x2 = 0 + -106 -8x + x2 = 0 + -106 Combine like terms: 0 + -106 = -106 -8x + x2 = -106 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -106 + 16 Reorder the terms: 16 + -8x + x2 = -106 + 16 Combine like terms: -106 + 16 = -90 16 + -8x + x2 = -90 Factor a perfect square on the left side: (x + -4)(x + -4) = -90 Can't calculate square root of the right side. The solution to this equation could not be determined.
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