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Simplifying 7 + -4x + 2(5x + 8) * x = -2 Reorder the terms: 7 + -4x + 2(8 + 5x) * x = -2 Reorder the terms for easier multiplication: 7 + -4x + 2x(8 + 5x) = -2 7 + -4x + (8 * 2x + 5x * 2x) = -2 7 + -4x + (16x + 10x2) = -2 Combine like terms: -4x + 16x = 12x 7 + 12x + 10x2 = -2 Solving 7 + 12x + 10x2 = -2 Solving for variable 'x'. Reorder the terms: 7 + 2 + 12x + 10x2 = -2 + 2 Combine like terms: 7 + 2 = 9 9 + 12x + 10x2 = -2 + 2 Combine like terms: -2 + 2 = 0 9 + 12x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + 1.2x + x2 = 0.0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + 1.2x + -0.9 + x2 = 0.0 + -0.9 Reorder the terms: 0.9 + -0.9 + 1.2x + x2 = 0.0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.2x + x2 = 0.0 + -0.9 1.2x + x2 = 0.0 + -0.9 Combine like terms: 0.0 + -0.9 = -0.9 1.2x + x2 = -0.9 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -0.9 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -0.9 + 0.36 Combine like terms: -0.9 + 0.36 = -0.54 0.36 + 1.2x + x2 = -0.54 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -0.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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