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Simplifying 8 = 4x + -5x2 Solving 8 = 4x + -5x2 Solving for variable 'x'. Reorder the terms: 8 + -4x + 5x2 = 4x + -4x + -5x2 + 5x2 Combine like terms: 4x + -4x = 0 8 + -4x + 5x2 = 0 + -5x2 + 5x2 8 + -4x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 8 + -4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + -0.8x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -0.8x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -0.8x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.8x + x2 = 0 + -1.6 -0.8x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -0.8x + x2 = -1.6 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -1.6 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -1.6 + 0.16 Combine like terms: -1.6 + 0.16 = -1.44 0.16 + -0.8x + x2 = -1.44 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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