(6d-5)(4d-7)=0

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Solution for (6d-5)(4d-7)=0 equation: 


Simplifying
(6d + -5)(4d + -7) = 0

Reorder the terms:
(-5 + 6d)(4d + -7) = 0

Reorder the terms:
(-5 + 6d)(-7 + 4d) = 0

Multiply (-5 + 6d) * (-7 + 4d)
(-5(-7 + 4d) + 6d * (-7 + 4d)) = 0
((-7 * -5 + 4d * -5) + 6d * (-7 + 4d)) = 0
((35 + -20d) + 6d * (-7 + 4d)) = 0
(35 + -20d + (-7 * 6d + 4d * 6d)) = 0
(35 + -20d + (-42d + 24d2)) = 0

Combine like terms: -20d + -42d = -62d
(35 + -62d + 24d2) = 0

Solving
35 + -62d + 24d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(5 + -6d)(7 + -4d) = 0


Subproblem 1
Set the factor '(5 + -6d)' equal to zero and attempt to solve:

Simplifying
5 + -6d = 0

Solving
5 + -6d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -6d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6d = 0 + -5
-6d = 0 + -5

Combine like terms: 0 + -5 = -5
-6d = -5

Divide each side by '-6'.
d = 0.8333333333

Simplifying
d = 0.8333333333

Subproblem 2
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 = 1.75
Solution
d = {0.8333333333, 1.75}

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