(4-2d)(3d-7)=

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Solution for (4-2d)(3d-7)= equation: 


Simplifying
(4 + -2d)(3d + -7) = 0

Reorder the terms:
(4 + -2d)(-7 + 3d) = 0

Multiply (4 + -2d) * (-7 + 3d)
(4(-7 + 3d) + -2d * (-7 + 3d)) = 0
((-7 * 4 + 3d * 4) + -2d * (-7 + 3d)) = 0
((-28 + 12d) + -2d * (-7 + 3d)) = 0
(-28 + 12d + (-7 * -2d + 3d * -2d)) = 0
(-28 + 12d + (14d + -6d2)) = 0

Combine like terms: 12d + 14d = 26d
(-28 + 26d + -6d2) = 0

Solving
-28 + 26d + -6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 13d + -3d2) = 0

Factor a trinomial.
2((-7 + 3d)(2 + -1d)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 3d)' equal to zero and attempt to solve:

Simplifying
-7 + 3d = 0

Solving
-7 + 3d = 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 + 3d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3d = 0 + 7
3d = 0 + 7

Combine like terms: 0 + 7 = 7
3d = 7

Divide each side by '3'.
d = 2.333333333

Simplifying
d = 2.333333333

Subproblem 2
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
Solution
d = {2.333333333, 2}

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