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Simplifying (5d + -7)(5d + -6) = 0 Reorder the terms: (-7 + 5d)(5d + -6) = 0 Reorder the terms: (-7 + 5d)(-6 + 5d) = 0 Multiply (-7 + 5d) * (-6 + 5d) (-7(-6 + 5d) + 5d * (-6 + 5d)) = 0 ((-6 * -7 + 5d * -7) + 5d * (-6 + 5d)) = 0 ((42 + -35d) + 5d * (-6 + 5d)) = 0 (42 + -35d + (-6 * 5d + 5d * 5d)) = 0 (42 + -35d + (-30d + 25d2)) = 0 Combine like terms: -35d + -30d = -65d (42 + -65d + 25d2) = 0 Solving 42 + -65d + 25d2 = 0 Solving for variable 'd'. Factor a trinomial. (6 + -5d)(7 + -5d) = 0Subproblem 1
Set the factor '(6 + -5d)' equal to zero and attempt to solve: Simplifying 6 + -5d = 0 Solving 6 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5d = 0 + -6 -5d = 0 + -6 Combine like terms: 0 + -6 = -6 -5d = -6 Divide each side by '-5'. d = 1.2 Simplifying d = 1.2Subproblem 2
Set the factor '(7 + -5d)' equal to zero and attempt to solve: Simplifying 7 + -5d = 0 Solving 7 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5d = 0 + -7 -5d = 0 + -7 Combine like terms: 0 + -7 = -7 -5d = -7 Divide each side by '-5'. d = 1.4 Simplifying d = 1.4Solution
d = {1.2, 1.4}
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