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Simplifying (4x2 + 2d + 5) + (7x2 + -5x + 2) = 0 Reorder the terms: (5 + 2d + 4x2) + (7x2 + -5x + 2) = 0 Remove parenthesis around (5 + 2d + 4x2) 5 + 2d + 4x2 + (7x2 + -5x + 2) = 0 Reorder the terms: 5 + 2d + 4x2 + (2 + -5x + 7x2) = 0 Remove parenthesis around (2 + -5x + 7x2) 5 + 2d + 4x2 + 2 + -5x + 7x2 = 0 Reorder the terms: 5 + 2 + 2d + -5x + 4x2 + 7x2 = 0 Combine like terms: 5 + 2 = 7 7 + 2d + -5x + 4x2 + 7x2 = 0 Combine like terms: 4x2 + 7x2 = 11x2 7 + 2d + -5x + 11x2 = 0 Solving 7 + 2d + -5x + 11x2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2d + -5x + -7 + 11x2 = 0 + -7 Reorder the terms: 7 + -7 + 2d + -5x + 11x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2d + -5x + 11x2 = 0 + -7 2d + -5x + 11x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2d + -5x + 11x2 = -7 Add '5x' to each side of the equation. 2d + -5x + 5x + 11x2 = -7 + 5x Combine like terms: -5x + 5x = 0 2d + 0 + 11x2 = -7 + 5x 2d + 11x2 = -7 + 5x Add '-11x2' to each side of the equation. 2d + 11x2 + -11x2 = -7 + 5x + -11x2 Combine like terms: 11x2 + -11x2 = 0 2d + 0 = -7 + 5x + -11x2 2d = -7 + 5x + -11x2 Divide each side by '2'. d = -3.5 + 2.5x + -5.5x2 Simplifying d = -3.5 + 2.5x + -5.5x2
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