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Simplifying 5x2 = 4x + -1 Reorder the terms: 5x2 = -1 + 4x Solving 5x2 = -1 + 4x Solving for variable 'x'. Reorder the terms: 1 + -4x + 5x2 = -1 + 4x + 1 + -4x Reorder the terms: 1 + -4x + 5x2 = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 1 + -4x + 5x2 = 0 + 4x + -4x 1 + -4x + 5x2 = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + -0.8x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.8x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.8x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.8x + x2 = 0 + -0.2 -0.8x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.8x + x2 = -0.2 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 = -0.2 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -0.2 + 0.16 Combine like terms: -0.2 + 0.16 = -0.04 0.16 + -0.8x + x2 = -0.04 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -0.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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