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Simplifying (5d + -7)(5d + -6) = 25d2 Reorder the terms: (-7 + 5d)(5d + -6) = 25d2 Reorder the terms: (-7 + 5d)(-6 + 5d) = 25d2 Multiply (-7 + 5d) * (-6 + 5d) (-7(-6 + 5d) + 5d * (-6 + 5d)) = 25d2 ((-6 * -7 + 5d * -7) + 5d * (-6 + 5d)) = 25d2 ((42 + -35d) + 5d * (-6 + 5d)) = 25d2 (42 + -35d + (-6 * 5d + 5d * 5d)) = 25d2 (42 + -35d + (-30d + 25d2)) = 25d2 Combine like terms: -35d + -30d = -65d (42 + -65d + 25d2) = 25d2 Add '-25d2' to each side of the equation. 42 + -65d + 25d2 + -25d2 = 25d2 + -25d2 Combine like terms: 25d2 + -25d2 = 0 42 + -65d + 0 = 25d2 + -25d2 42 + -65d = 25d2 + -25d2 Combine like terms: 25d2 + -25d2 = 0 42 + -65d = 0 Solving 42 + -65d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -65d = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -65d = 0 + -42 -65d = 0 + -42 Combine like terms: 0 + -42 = -42 -65d = -42 Divide each side by '-65'. d = 0.6461538462 Simplifying d = 0.6461538462
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