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Simplifying 6(x + 4) + x(5x + 5) = 0 Reorder the terms: 6(4 + x) + x(5x + 5) = 0 (4 * 6 + x * 6) + x(5x + 5) = 0 (24 + 6x) + x(5x + 5) = 0 Reorder the terms: 24 + 6x + x(5 + 5x) = 0 24 + 6x + (5 * x + 5x * x) = 0 24 + 6x + (5x + 5x2) = 0 Combine like terms: 6x + 5x = 11x 24 + 11x + 5x2 = 0 Solving 24 + 11x + 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'. 4.8 + 2.2x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + 2.2x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + 2.2x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 2.2x + x2 = 0 + -4.8 2.2x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 2.2x + x2 = -4.8 The x term is 2.2x. Take half its coefficient (1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. 2.2x + 1.21 + x2 = -4.8 + 1.21 Reorder the terms: 1.21 + 2.2x + x2 = -4.8 + 1.21 Combine like terms: -4.8 + 1.21 = -3.59 1.21 + 2.2x + x2 = -3.59 Factor a perfect square on the left side: (x + 1.1)(x + 1.1) = -3.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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