2ax^2-3ax-14a=0

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Solution for 2ax^2-3ax-14a=0 equation: 


Simplifying
2ax2 + -3ax + -14a = 0

Reorder the terms:
-14a + -3ax + 2ax2 = 0

Solving
-14a + -3ax + 2ax2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(-14 + -3x + 2x2) = 0

Factor a trinomial.
a((-2 + -1x)(7 + -2x)) = 0


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 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Add 'x' to each side of the equation.
-1x + x = 2 + x

Combine like terms: -1x + x = 0
0 = 2 + x

Simplifying
0 = 2 + x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Add '2x' to each side of the equation.
-2x + 2x = -7 + 2x

Combine like terms: -2x + 2x = 0
0 = -7 + 2x

Simplifying
0 = -7 + 2x

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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