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Simplifying 25x2 + -32x + 256 = 0 Reorder the terms: 256 + -32x + 25x2 = 0 Solving 256 + -32x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 10.24 + -1.28x + x2 = 0 Move the constant term to the right: Add '-10.24' to each side of the equation. 10.24 + -1.28x + -10.24 + x2 = 0 + -10.24 Reorder the terms: 10.24 + -10.24 + -1.28x + x2 = 0 + -10.24 Combine like terms: 10.24 + -10.24 = 0.00 0.00 + -1.28x + x2 = 0 + -10.24 -1.28x + x2 = 0 + -10.24 Combine like terms: 0 + -10.24 = -10.24 -1.28x + x2 = -10.24 The x term is -1.28x. Take half its coefficient (-0.64). Square it (0.4096) and add it to both sides. Add '0.4096' to each side of the equation. -1.28x + 0.4096 + x2 = -10.24 + 0.4096 Reorder the terms: 0.4096 + -1.28x + x2 = -10.24 + 0.4096 Combine like terms: -10.24 + 0.4096 = -9.8304 0.4096 + -1.28x + x2 = -9.8304 Factor a perfect square on the left side: (x + -0.64)(x + -0.64) = -9.8304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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