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Simplifying 2(3x + 1) + 5x(x + -2) = 0 Reorder the terms: 2(1 + 3x) + 5x(x + -2) = 0 (1 * 2 + 3x * 2) + 5x(x + -2) = 0 (2 + 6x) + 5x(x + -2) = 0 Reorder the terms: 2 + 6x + 5x(-2 + x) = 0 2 + 6x + (-2 * 5x + x * 5x) = 0 2 + 6x + (-10x + 5x2) = 0 Combine like terms: 6x + -10x = -4x 2 + -4x + 5x2 = 0 Solving 2 + -4x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + -0.8x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.8x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.8x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.8x + x2 = 0 + -0.4 -0.8x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.8x + x2 = -0.4 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 = -0.4 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -0.4 + 0.16 Combine like terms: -0.4 + 0.16 = -0.24 0.16 + -0.8x + x2 = -0.24 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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