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Simplifying 5x2 + 4x = -5 Reorder the terms: 4x + 5x2 = -5 Solving 4x + 5x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 4x + 5x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 0.8x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.8x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.8x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8x + x2 = 0 + -1 0.8x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.8x + x2 = -1 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 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -1 + 0.16 Combine like terms: -1 + 0.16 = -0.84 0.16 + 0.8x + x2 = -0.84 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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