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Simplifying 13 + -6 = 2x + -5x2 + 3 Combine like terms: 13 + -6 = 7 7 = 2x + -5x2 + 3 Reorder the terms: 7 = 3 + 2x + -5x2 Solving 7 = 3 + 2x + -5x2 Solving for variable 'x'. Combine like terms: 7 + -3 = 4 4 + -2x + 5x2 = 3 + 2x + -5x2 + -3 + -2x + 5x2 Reorder the terms: 4 + -2x + 5x2 = 3 + -3 + 2x + -2x + -5x2 + 5x2 Combine like terms: 3 + -3 = 0 4 + -2x + 5x2 = 0 + 2x + -2x + -5x2 + 5x2 4 + -2x + 5x2 = 2x + -2x + -5x2 + 5x2 Combine like terms: 2x + -2x = 0 4 + -2x + 5x2 = 0 + -5x2 + 5x2 4 + -2x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 4 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.4x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.4x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4x + x2 = 0 + -0.8 -0.4x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.4x + x2 = -0.8 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.8 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.8 + 0.04 Combine like terms: -0.8 + 0.04 = -0.76 0.04 + -0.4x + x2 = -0.76 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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