ax*(2x-5)=6x^2-bx

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Solution for ax*(2x-5)=6x^2-bx equation: 


Simplifying
ax(2x + -5) = 6x2 + -1bx

Reorder the terms:
ax(-5 + 2x) = 6x2 + -1bx
(-5 * ax + 2x * ax) = 6x2 + -1bx
(-5ax + 2ax2) = 6x2 + -1bx

Reorder the terms:
-5ax + 2ax2 = -1bx + 6x2

Solving
-5ax + 2ax2 = -1bx + 6x2

Solving for variable 'a'.

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

Reorder the terms:
-5ax + 2ax2 + bx + -6x2 = -1bx + bx + 6x2 + -6x2

Combine like terms: -1bx + bx = 0
-5ax + 2ax2 + bx + -6x2 = 0 + 6x2 + -6x2
-5ax + 2ax2 + bx + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5ax + 2ax2 + bx + -6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5a + 2ax + b + -6x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(-5a + 2ax + b + -6x)' equal to zero and attempt to solve:

Simplifying
-5a + 2ax + b + -6x = 0

Solving
-5a + 2ax + b + -6x = 0

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

Add '-1b' to each side of the equation.
-5a + 2ax + b + -1b + -6x = 0 + -1b

Combine like terms: b + -1b = 0
-5a + 2ax + 0 + -6x = 0 + -1b
-5a + 2ax + -6x = 0 + -1b
Remove the zero:
-5a + 2ax + -6x = -1b

Add '6x' to each side of the equation.
-5a + 2ax + -6x + 6x = -1b + 6x

Combine like terms: -6x + 6x = 0
-5a + 2ax + 0 = -1b + 6x
-5a + 2ax = -1b + 6x

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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