(cd)ax[10(cd)7ax-15(cd)3ax+20(cd)]=

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Solution for (cd)ax[10(cd)7ax-15(cd)3ax+20(cd)]= equation: 


Simplifying
(cd) * ax[10(cd) * 7ax + -15(cd) * 3ax + 20(cd)] = 0

Reorder the terms for easier multiplication:
cd * ax[10 * 7cd * ax + -15(cd) * 3ax + 20(cd)] = 0

Multiply 10 * 7
cd * ax[70cd * ax + -15(cd) * 3ax + 20(cd)] = 0

Multiply cd * ax
cd * ax[70acdx + -15(cd) * 3ax + 20(cd)] = 0

Reorder the terms for easier multiplication:
cd * ax[70acdx + -15 * 3cd * ax + 20(cd)] = 0

Multiply -15 * 3
cd * ax[70acdx + -45cd * ax + 20(cd)] = 0

Multiply cd * ax
cd * ax[70acdx + -45acdx + 20(cd)] = 0

Combine like terms: 70acdx + -45acdx = 25acdx
cd * ax[25acdx + 20cd] = 0

Multiply cd * ax
acdx[25acdx + 20cd] = 0
[25acdx * acdx + 20cd * acdx] = 0

Reorder the terms:
[20ac2d2x + 25a2c2d2x2] = 0
[20ac2d2x + 25a2c2d2x2] = 0

Solving
20ac2d2x + 25a2c2d2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ac2d2x'.
5ac2d2x(4 + 5ax) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'ac2d2x' equal to zero and attempt to solve:

Simplifying
ac2d2x = 0

Solving
ac2d2x = 0

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

Simplifying
ac2d2x = 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 '(4 + 5ax)' equal to zero and attempt to solve:

Simplifying
4 + 5ax = 0

Solving
4 + 5ax = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5ax = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5ax = 0 + -4
5ax = 0 + -4

Combine like terms: 0 + -4 = -4
5ax = -4

Divide each side by '5x'.
a = -0.8x-1

Simplifying
a = -0.8x-1
Solution
a = {-0.8x-1}

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