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Simplifying 0 = 8x2 + -8x + 2.4 Reorder the terms: 0 = 2.4 + -8x + 8x2 Solving 0 = 2.4 + -8x + 8x2 Solving for variable 'x'. Combine like terms: 0 + -2.4 = -2.4 -2.4 + 8x + -8x2 = 2.4 + -8x + 8x2 + -2.4 + 8x + -8x2 Reorder the terms: -2.4 + 8x + -8x2 = 2.4 + -2.4 + -8x + 8x + 8x2 + -8x2 Combine like terms: 2.4 + -2.4 = 0.0 -2.4 + 8x + -8x2 = 0.0 + -8x + 8x + 8x2 + -8x2 -2.4 + 8x + -8x2 = -8x + 8x + 8x2 + -8x2 Combine like terms: -8x + 8x = 0 -2.4 + 8x + -8x2 = 0 + 8x2 + -8x2 -2.4 + 8x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -2.4 + 8x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.3 + -1x + x2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -1x + -0.3 + x2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -1x + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1x + x2 = 0 + -0.3 -1x + x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -1x + x2 = -0.3 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.3 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.3 + 0.25 Combine like terms: -0.3 + 0.25 = -0.05 0.25 + -1x + x2 = -0.05 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.05 Can't calculate square root of the right side. The solution to this equation could not be determined.
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