10d(4d+10)-12d=

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Solution for 10d(4d+10)-12d= equation: 


Simplifying
10d(4d + 10) + -12d = 0

Reorder the terms:
10d(10 + 4d) + -12d = 0
(10 * 10d + 4d * 10d) + -12d = 0
(100d + 40d2) + -12d = 0

Reorder the terms:
100d + -12d + 40d2 = 0

Combine like terms: 100d + -12d = 88d
88d + 40d2 = 0

Solving
88d + 40d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '8d'.
8d(11 + 5d) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

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 = {0, -2.2}

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