(3d-4)(9d-2)=

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Solution for (3d-4)(9d-2)= equation: 


Simplifying
(3d + -4)(9d + -2) = 0

Reorder the terms:
(-4 + 3d)(9d + -2) = 0

Reorder the terms:
(-4 + 3d)(-2 + 9d) = 0

Multiply (-4 + 3d) * (-2 + 9d)
(-4(-2 + 9d) + 3d * (-2 + 9d)) = 0
((-2 * -4 + 9d * -4) + 3d * (-2 + 9d)) = 0
((8 + -36d) + 3d * (-2 + 9d)) = 0
(8 + -36d + (-2 * 3d + 9d * 3d)) = 0
(8 + -36d + (-6d + 27d2)) = 0

Combine like terms: -36d + -6d = -42d
(8 + -42d + 27d2) = 0

Solving
8 + -42d + 27d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -9d)(4 + -3d) = 0


Subproblem 1
Set the factor '(2 + -9d)' equal to zero and attempt to solve:

Simplifying
2 + -9d = 0

Solving
2 + -9d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9d = 0 + -2
-9d = 0 + -2

Combine like terms: 0 + -2 = -2
-9d = -2

Divide each side by '-9'.
d = 0.2222222222

Simplifying
d = 0.2222222222

Subproblem 2
Set the factor '(4 + -3d)' equal to zero and attempt to solve:

Simplifying
4 + -3d = 0

Solving
4 + -3d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3d = 0 + -4
-3d = 0 + -4

Combine like terms: 0 + -4 = -4
-3d = -4

Divide each side by '-3'.
d = 1.333333333

Simplifying
d = 1.333333333
Solution
d = {0.2222222222, 1.333333333}

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