(6ad-9a^2d+10ad^2)-(6ad^2-2ad-10a^2d)=

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Solution for (6ad-9a^2d+10ad^2)-(6ad^2-2ad-10a^2d)= equation: 


Simplifying
(6ad + -9a2d + 10ad2) + -1(6ad2 + -2ad + -10a2d) = 0

Reorder the terms:
(6ad + 10ad2 + -9a2d) + -1(6ad2 + -2ad + -10a2d) = 0

Remove parenthesis around (6ad + 10ad2 + -9a2d)
6ad + 10ad2 + -9a2d + -1(6ad2 + -2ad + -10a2d) = 0

Reorder the terms:
6ad + 10ad2 + -9a2d + -1(-2ad + 6ad2 + -10a2d) = 0
6ad + 10ad2 + -9a2d + (-2ad * -1 + 6ad2 * -1 + -10a2d * -1) = 0
6ad + 10ad2 + -9a2d + (2ad + -6ad2 + 10a2d) = 0

Reorder the terms:
6ad + 2ad + 10ad2 + -6ad2 + -9a2d + 10a2d = 0

Combine like terms: 6ad + 2ad = 8ad
8ad + 10ad2 + -6ad2 + -9a2d + 10a2d = 0

Combine like terms: 10ad2 + -6ad2 = 4ad2
8ad + 4ad2 + -9a2d + 10a2d = 0

Combine like terms: -9a2d + 10a2d = 1a2d
8ad + 4ad2 + 1a2d = 0

Solving
8ad + 4ad2 + 1a2d = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ad'.
ad(8 + 4d + a) = 0


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

Simplifying
ad = 0

Solving
ad = 0

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

Simplifying
ad = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8 + 4d + a)' equal to zero and attempt to solve:

Simplifying
8 + 4d + a = 0

Reorder the terms:
8 + a + 4d = 0

Solving
8 + a + 4d = 0

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

Add '-8' to each side of the equation.
8 + a + -8 + 4d = 0 + -8

Reorder the terms:
8 + -8 + a + 4d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a + 4d = 0 + -8
a + 4d = 0 + -8

Combine like terms: 0 + -8 = -8
a + 4d = -8

Add '-4d' to each side of the equation.
a + 4d + -4d = -8 + -4d

Combine like terms: 4d + -4d = 0
a + 0 = -8 + -4d
a = -8 + -4d

Simplifying
a = -8 + -4d
Solution
a = {-8 + -4d}

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