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Simplifying (d + -6)(4d + -7) = 0 Reorder the terms: (-6 + d)(4d + -7) = 0 Reorder the terms: (-6 + d)(-7 + 4d) = 0 Multiply (-6 + d) * (-7 + 4d) (-6(-7 + 4d) + d(-7 + 4d)) = 0 ((-7 * -6 + 4d * -6) + d(-7 + 4d)) = 0 ((42 + -24d) + d(-7 + 4d)) = 0 (42 + -24d + (-7 * d + 4d * d)) = 0 (42 + -24d + (-7d + 4d2)) = 0 Combine like terms: -24d + -7d = -31d (42 + -31d + 4d2) = 0 Solving 42 + -31d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + -4d)(6 + -1d) = 0Subproblem 1
Set the factor '(7 + -4d)' equal to zero and attempt to solve: Simplifying 7 + -4d = 0 Solving 7 + -4d = 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 + -4d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4d = 0 + -7 -4d = 0 + -7 Combine like terms: 0 + -7 = -7 -4d = -7 Divide each side by '-4'. d = 1.75 Simplifying d = 1.75Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve: Simplifying 6 + -1d = 0 Solving 6 + -1d = 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 + -1d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1d = 0 + -6 -1d = 0 + -6 Combine like terms: 0 + -6 = -6 -1d = -6 Divide each side by '-1'. d = 6 Simplifying d = 6Solution
d = {1.75, 6}
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