(2x+6a)(7a-8x)(7x+9)=

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Solution for (2x+6a)(7a-8x)(7x+9)= equation: 


Simplifying
(2x + 6a)(7a + -8x)(7x + 9) = 0

Reorder the terms:
(6a + 2x)(7a + -8x)(7x + 9) = 0

Reorder the terms:
(6a + 2x)(7a + -8x)(9 + 7x) = 0

Multiply (6a + 2x) * (7a + -8x)
(6a * (7a + -8x) + 2x * (7a + -8x))(9 + 7x) = 0
((7a * 6a + -8x * 6a) + 2x * (7a + -8x))(9 + 7x) = 0

Reorder the terms:
((-48ax + 42a2) + 2x * (7a + -8x))(9 + 7x) = 0
((-48ax + 42a2) + 2x * (7a + -8x))(9 + 7x) = 0
(-48ax + 42a2 + (7a * 2x + -8x * 2x))(9 + 7x) = 0
(-48ax + 42a2 + (14ax + -16x2))(9 + 7x) = 0

Reorder the terms:
(-48ax + 14ax + 42a2 + -16x2)(9 + 7x) = 0

Combine like terms: -48ax + 14ax = -34ax
(-34ax + 42a2 + -16x2)(9 + 7x) = 0

Multiply (-34ax + 42a2 + -16x2) * (9 + 7x)
(-34ax * (9 + 7x) + 42a2 * (9 + 7x) + -16x2 * (9 + 7x)) = 0
((9 * -34ax + 7x * -34ax) + 42a2 * (9 + 7x) + -16x2 * (9 + 7x)) = 0
((-306ax + -238ax2) + 42a2 * (9 + 7x) + -16x2 * (9 + 7x)) = 0
(-306ax + -238ax2 + (9 * 42a2 + 7x * 42a2) + -16x2 * (9 + 7x)) = 0
(-306ax + -238ax2 + (378a2 + 294a2x) + -16x2 * (9 + 7x)) = 0
(-306ax + -238ax2 + 378a2 + 294a2x + (9 * -16x2 + 7x * -16x2)) = 0
(-306ax + -238ax2 + 378a2 + 294a2x + (-144x2 + -112x3)) = 0
(-306ax + -238ax2 + 378a2 + 294a2x + -144x2 + -112x3) = 0

Solving
-306ax + -238ax2 + 378a2 + 294a2x + -144x2 + -112x3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-153ax + -119ax2 + 189a2 + 147a2x + -72x2 + -56x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-153ax + -119ax2 + 189a2 + 147a2x + -72x2 + -56x3)' equal to zero and attempt to solve:

Simplifying
-153ax + -119ax2 + 189a2 + 147a2x + -72x2 + -56x3 = 0

Solving
-153ax + -119ax2 + 189a2 + 147a2x + -72x2 + -56x3 = 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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