(6d+5)(d-8)=

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Solution for (6d+5)(d-8)= equation: 


Simplifying
(6d + 5)(d + -8) = 0

Reorder the terms:
(5 + 6d)(d + -8) = 0

Reorder the terms:
(5 + 6d)(-8 + d) = 0

Multiply (5 + 6d) * (-8 + d)
(5(-8 + d) + 6d * (-8 + d)) = 0
((-8 * 5 + d * 5) + 6d * (-8 + d)) = 0
((-40 + 5d) + 6d * (-8 + d)) = 0
(-40 + 5d + (-8 * 6d + d * 6d)) = 0
(-40 + 5d + (-48d + 6d2)) = 0

Combine like terms: 5d + -48d = -43d
(-40 + -43d + 6d2) = 0

Solving
-40 + -43d + 6d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -6d)(8 + -1d) = 0


Subproblem 1
Set the factor '(-5 + -6d)' equal to zero and attempt to solve:

Simplifying
-5 + -6d = 0

Solving
-5 + -6d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6d = 0 + 5
-6d = 0 + 5

Combine like terms: 0 + 5 = 5
-6d = 5

Divide each side by '-6'.
d = -0.8333333333

Simplifying
d = -0.8333333333

Subproblem 2
Set the factor '(8 + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d = 0 + -8
-1d = 0 + -8

Combine like terms: 0 + -8 = -8
-1d = -8

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Solution
d = {-0.8333333333, 8}

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