20ax^2+25ax+15a=5a

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Solution for 20ax^2+25ax+15a=5a equation: 


Simplifying
20ax2 + 25ax + 15a = 5a

Reorder the terms:
15a + 25ax + 20ax2 = 5a

Solving
15a + 25ax + 20ax2 = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
15a + 25ax + -5a + 20ax2 = 5a + -5a

Reorder the terms:
15a + -5a + 25ax + 20ax2 = 5a + -5a

Combine like terms: 15a + -5a = 10a
10a + 25ax + 20ax2 = 5a + -5a

Combine like terms: 5a + -5a = 0
10a + 25ax + 20ax2 = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(2 + 5x + 4x2) = 0

Ignore the factor 5.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2 + 5x + 4x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + 4x2 = 0

Solving
2 + 5x + 4x2 = 0

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

Add '-2' to each side of the equation.
2 + 5x + -2 + 4x2 = 0 + -2

Reorder the terms:
2 + -2 + 5x + 4x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x + 4x2 = 0 + -2
5x + 4x2 = 0 + -2

Combine like terms: 0 + -2 = -2
5x + 4x2 = -2

Add '-5x' to each side of the equation.
5x + -5x + 4x2 = -2 + -5x

Combine like terms: 5x + -5x = 0
0 + 4x2 = -2 + -5x
4x2 = -2 + -5x

Add '-4x2' to each side of the equation.
4x2 + -4x2 = -2 + -5x + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = -2 + -5x + -4x2

Simplifying
0 = -2 + -5x + -4x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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