(6x-2)(x+3)(5x+8)=0

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Solution for (6x-2)(x+3)(5x+8)=0 equation: 


Simplifying
(6x + -2)(x + 3)(5x + 8) = 0

Reorder the terms:
(-2 + 6x)(x + 3)(5x + 8) = 0

Reorder the terms:
(-2 + 6x)(3 + x)(5x + 8) = 0

Reorder the terms:
(-2 + 6x)(3 + x)(8 + 5x) = 0

Multiply (-2 + 6x) * (3 + x)
(-2(3 + x) + 6x * (3 + x))(8 + 5x) = 0
((3 * -2 + x * -2) + 6x * (3 + x))(8 + 5x) = 0
((-6 + -2x) + 6x * (3 + x))(8 + 5x) = 0
(-6 + -2x + (3 * 6x + x * 6x))(8 + 5x) = 0
(-6 + -2x + (18x + 6x2))(8 + 5x) = 0

Combine like terms: -2x + 18x = 16x
(-6 + 16x + 6x2)(8 + 5x) = 0

Multiply (-6 + 16x + 6x2) * (8 + 5x)
(-6(8 + 5x) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0
((8 * -6 + 5x * -6) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0
((-48 + -30x) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0
(-48 + -30x + (8 * 16x + 5x * 16x) + 6x2 * (8 + 5x)) = 0
(-48 + -30x + (128x + 80x2) + 6x2 * (8 + 5x)) = 0
(-48 + -30x + 128x + 80x2 + (8 * 6x2 + 5x * 6x2)) = 0
(-48 + -30x + 128x + 80x2 + (48x2 + 30x3)) = 0

Combine like terms: -30x + 128x = 98x
(-48 + 98x + 80x2 + 48x2 + 30x3) = 0

Combine like terms: 80x2 + 48x2 = 128x2
(-48 + 98x + 128x2 + 30x3) = 0

Solving
-48 + 98x + 128x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 49x + 64x2 + 15x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + 49x + 64x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
-24 + 49x + 64x2 + 15x3 = 0

Solving
-24 + 49x + 64x2 + 15x3 = 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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