(4d-8)(5d-11)=0

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Solution for (4d-8)(5d-11)=0 equation: 


Simplifying
(4d + -8)(5d + -11) = 0

Reorder the terms:
(-8 + 4d)(5d + -11) = 0

Reorder the terms:
(-8 + 4d)(-11 + 5d) = 0

Multiply (-8 + 4d) * (-11 + 5d)
(-8(-11 + 5d) + 4d * (-11 + 5d)) = 0
((-11 * -8 + 5d * -8) + 4d * (-11 + 5d)) = 0
((88 + -40d) + 4d * (-11 + 5d)) = 0
(88 + -40d + (-11 * 4d + 5d * 4d)) = 0
(88 + -40d + (-44d + 20d2)) = 0

Combine like terms: -40d + -44d = -84d
(88 + -84d + 20d2) = 0

Solving
88 + -84d + 20d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(22 + -21d + 5d2) = 0

Factor a trinomial.
4((2 + -1d)(11 + -5d)) = 0

Ignore the factor 4.

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 + -5d)' equal to zero and attempt to solve:

Simplifying
11 + -5d = 0

Solving
11 + -5d = 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 + -5d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5d = 0 + -11
-5d = 0 + -11

Combine like terms: 0 + -11 = -11
-5d = -11

Divide each side by '-5'.
d = 2.2

Simplifying
d = 2.2
Solution
d = {2, 2.2}

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