(2x-5)(2x+6)(3x-9)=0

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Solution for (2x-5)(2x+6)(3x-9)=0 equation: 


Simplifying
(2x + -5)(2x + 6)(3x + -9) = 0

Reorder the terms:
(-5 + 2x)(2x + 6)(3x + -9) = 0

Reorder the terms:
(-5 + 2x)(6 + 2x)(3x + -9) = 0

Reorder the terms:
(-5 + 2x)(6 + 2x)(-9 + 3x) = 0

Multiply (-5 + 2x) * (6 + 2x)
(-5(6 + 2x) + 2x * (6 + 2x))(-9 + 3x) = 0
((6 * -5 + 2x * -5) + 2x * (6 + 2x))(-9 + 3x) = 0
((-30 + -10x) + 2x * (6 + 2x))(-9 + 3x) = 0
(-30 + -10x + (6 * 2x + 2x * 2x))(-9 + 3x) = 0
(-30 + -10x + (12x + 4x2))(-9 + 3x) = 0

Combine like terms: -10x + 12x = 2x
(-30 + 2x + 4x2)(-9 + 3x) = 0

Multiply (-30 + 2x + 4x2) * (-9 + 3x)
(-30(-9 + 3x) + 2x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
((-9 * -30 + 3x * -30) + 2x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
((270 + -90x) + 2x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
(270 + -90x + (-9 * 2x + 3x * 2x) + 4x2 * (-9 + 3x)) = 0
(270 + -90x + (-18x + 6x2) + 4x2 * (-9 + 3x)) = 0
(270 + -90x + -18x + 6x2 + (-9 * 4x2 + 3x * 4x2)) = 0
(270 + -90x + -18x + 6x2 + (-36x2 + 12x3)) = 0

Combine like terms: -90x + -18x = -108x
(270 + -108x + 6x2 + -36x2 + 12x3) = 0

Combine like terms: 6x2 + -36x2 = -30x2
(270 + -108x + -30x2 + 12x3) = 0

Solving
270 + -108x + -30x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(45 + -18x + -5x2 + 2x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(45 + -18x + -5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
45 + -18x + -5x2 + 2x3 = 0

Solving
45 + -18x + -5x2 + 2x3 = 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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