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Simplifying ((2x2) + -32x + 255) = 0 Reorder the terms: (255 + -32x + (2x2)) = 0 Remove parenthesis around (255 + -32x + (2x2)) 255 + -32x + (2x2) = 0 Solving 255 + -32x + (2x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 127.5 + -16x + x2 = 0 Move the constant term to the right: Add '-127.5' to each side of the equation. 127.5 + -16x + -127.5 + x2 = 0 + -127.5 Reorder the terms: 127.5 + -127.5 + -16x + x2 = 0 + -127.5 Combine like terms: 127.5 + -127.5 = 0.0 0.0 + -16x + x2 = 0 + -127.5 -16x + x2 = 0 + -127.5 Combine like terms: 0 + -127.5 = -127.5 -16x + x2 = -127.5 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -127.5 + 64 Reorder the terms: 64 + -16x + x2 = -127.5 + 64 Combine like terms: -127.5 + 64 = -63.5 64 + -16x + x2 = -63.5 Factor a perfect square on the left side: ((x) + -8)((x) + -8) = -63.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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