(6d-11)(2d+4)=0

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Solution for (6d-11)(2d+4)=0 equation: 


Simplifying
(6d + -11)(2d + 4) = 0

Reorder the terms:
(-11 + 6d)(2d + 4) = 0

Reorder the terms:
(-11 + 6d)(4 + 2d) = 0

Multiply (-11 + 6d) * (4 + 2d)
(-11(4 + 2d) + 6d * (4 + 2d)) = 0
((4 * -11 + 2d * -11) + 6d * (4 + 2d)) = 0
((-44 + -22d) + 6d * (4 + 2d)) = 0
(-44 + -22d + (4 * 6d + 2d * 6d)) = 0
(-44 + -22d + (24d + 12d2)) = 0

Combine like terms: -22d + 24d = 2d
(-44 + 2d + 12d2) = 0

Solving
-44 + 2d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + d + 6d2) = 0

Factor a trinomial.
2((-2 + -1d)(11 + -6d)) = 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 '(11 + -6d)' equal to zero and attempt to solve:

Simplifying
11 + -6d = 0

Solving
11 + -6d = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6d = 0 + -11
-6d = 0 + -11

Combine like terms: 0 + -11 = -11
-6d = -11

Divide each side by '-6'.
d = 1.833333333

Simplifying
d = 1.833333333
Solution
d = {-2, 1.833333333}

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