2ax(ax+3)-bx(2bx-9)=3bx

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Solution for 2ax(ax+3)-bx(2bx-9)=3bx equation: 


Simplifying
2ax(ax + 3) + -1bx(2bx + -9) = 3bx

Reorder the terms:
2ax(3 + ax) + -1bx(2bx + -9) = 3bx
(3 * 2ax + ax * 2ax) + -1bx(2bx + -9) = 3bx
(6ax + 2a2x2) + -1bx(2bx + -9) = 3bx

Reorder the terms:
6ax + 2a2x2 + -1bx(-9 + 2bx) = 3bx
6ax + 2a2x2 + (-9 * -1bx + 2bx * -1bx) = 3bx
6ax + 2a2x2 + (9bx + -2b2x2) = 3bx

Solving
6ax + 2a2x2 + 9bx + -2b2x2 = 3bx

Solving for variable 'a'.

Reorder the terms:
6ax + 2a2x2 + 9bx + -3bx + -2b2x2 = 3bx + -3bx

Combine like terms: 9bx + -3bx = 6bx
6ax + 2a2x2 + 6bx + -2b2x2 = 3bx + -3bx

Combine like terms: 3bx + -3bx = 0
6ax + 2a2x2 + 6bx + -2b2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3a + a2x + 3b + -1b2x) = 0

Ignore the factor 2.

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 '(3a + a2x + 3b + -1b2x)' equal to zero and attempt to solve:

Simplifying
3a + a2x + 3b + -1b2x = 0

Solving
3a + a2x + 3b + -1b2x = 0

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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