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Simplifying x2 + -8x = -75 Reorder the terms: -8x + x2 = -75 Solving -8x + x2 = -75 Solving for variable 'x'. Reorder the terms: 75 + -8x + x2 = -75 + 75 Combine like terms: -75 + 75 = 0 75 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + -8x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -8x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -8x + x2 = 0 + -75 -8x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -8x + x2 = -75 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 = -75 + 16 Reorder the terms: 16 + -8x + x2 = -75 + 16 Combine like terms: -75 + 16 = -59 16 + -8x + x2 = -59 Factor a perfect square on the left side: (x + -4)(x + -4) = -59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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