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Simplifying 160 = 8x + -1x2 Solving 160 = 8x + -1x2 Solving for variable 'x'. Reorder the terms: 160 + -8x + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 160 + -8x + x2 = 0 + -1x2 + x2 160 + -8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 160 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -8x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -8x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -8x + x2 = 0 + -160 -8x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -8x + x2 = -160 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 = -160 + 16 Reorder the terms: 16 + -8x + x2 = -160 + 16 Combine like terms: -160 + 16 = -144 16 + -8x + x2 = -144 Factor a perfect square on the left side: (x + -4)(x + -4) = -144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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