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

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


Simplifying
x2(2x + -3) + 6x(2x + -3) + 9(2x + -3) = 0

Reorder the terms:
x2(-3 + 2x) + 6x(2x + -3) + 9(2x + -3) = 0
(-3 * x2 + 2x * x2) + 6x(2x + -3) + 9(2x + -3) = 0
(-3x2 + 2x3) + 6x(2x + -3) + 9(2x + -3) = 0

Reorder the terms:
-3x2 + 2x3 + 6x(-3 + 2x) + 9(2x + -3) = 0
-3x2 + 2x3 + (-3 * 6x + 2x * 6x) + 9(2x + -3) = 0
-3x2 + 2x3 + (-18x + 12x2) + 9(2x + -3) = 0

Reorder the terms:
-3x2 + 2x3 + -18x + 12x2 + 9(-3 + 2x) = 0
-3x2 + 2x3 + -18x + 12x2 + (-3 * 9 + 2x * 9) = 0
-3x2 + 2x3 + -18x + 12x2 + (-27 + 18x) = 0

Reorder the terms:
-27 + -18x + 18x + -3x2 + 12x2 + 2x3 = 0

Combine like terms: -18x + 18x = 0
-27 + 0 + -3x2 + 12x2 + 2x3 = 0
-27 + -3x2 + 12x2 + 2x3 = 0

Combine like terms: -3x2 + 12x2 = 9x2
-27 + 9x2 + 2x3 = 0

Solving
-27 + 9x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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