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

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


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

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

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

Multiply (4 + 2d) * (-2 + 3d)
(4(-2 + 3d) + 2d * (-2 + 3d)) = 0
((-2 * 4 + 3d * 4) + 2d * (-2 + 3d)) = 0
((-8 + 12d) + 2d * (-2 + 3d)) = 0
(-8 + 12d + (-2 * 2d + 3d * 2d)) = 0
(-8 + 12d + (-4d + 6d2)) = 0

Combine like terms: 12d + -4d = 8d
(-8 + 8d + 6d2) = 0

Solving
-8 + 8d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4d + 3d2) = 0

Factor a trinomial.
2((-2 + -1d)(2 + -3d)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1d = 0

Solving
-2 + -1d = 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 + -1d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1d = 0 + 2
-1d = 0 + 2

Combine like terms: 0 + 2 = 2
-1d = 2

Divide each side by '-1'.
d = -2

Simplifying
d = -2

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

Simplifying
2 + -3d = 0

Solving
2 + -3d = 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 + -3d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3d = 0 + -2
-3d = 0 + -2

Combine like terms: 0 + -2 = -2
-3d = -2

Divide each side by '-3'.
d = 0.6666666667

Simplifying
d = 0.6666666667
Solution
d = {-2, 0.6666666667}

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