X^2(2x-7)-3x(2x-7)+2(2x-7)=0

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Solution for X^2(2x-7)-3x(2x-7)+2(2x-7)=0 equation: 


Simplifying
X2(2x + -7) + -3x(2x + -7) + 2(2x + -7) = 0

Reorder the terms:
X2(-7 + 2x) + -3x(2x + -7) + 2(2x + -7) = 0
(-7 * X2 + 2x * X2) + -3x(2x + -7) + 2(2x + -7) = 0
(-7X2 + 2xX2) + -3x(2x + -7) + 2(2x + -7) = 0

Reorder the terms:
-7X2 + 2xX2 + -3x(-7 + 2x) + 2(2x + -7) = 0
-7X2 + 2xX2 + (-7 * -3x + 2x * -3x) + 2(2x + -7) = 0
-7X2 + 2xX2 + (21x + -6x2) + 2(2x + -7) = 0

Reorder the terms:
-7X2 + 2xX2 + 21x + -6x2 + 2(-7 + 2x) = 0
-7X2 + 2xX2 + 21x + -6x2 + (-7 * 2 + 2x * 2) = 0
-7X2 + 2xX2 + 21x + -6x2 + (-14 + 4x) = 0

Reorder the terms:
-14 + -7X2 + 21x + 4x + 2xX2 + -6x2 = 0

Combine like terms: 21x + 4x = 25x
-14 + -7X2 + 25x + 2xX2 + -6x2 = 0

Solving
-14 + -7X2 + 25x + 2xX2 + -6x2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + -7X2 + 25x + 2xX2 + 14 + -6x2 = 0 + 14

Reorder the terms:
-14 + 14 + -7X2 + 25x + 2xX2 + -6x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -7X2 + 25x + 2xX2 + -6x2 = 0 + 14
-7X2 + 25x + 2xX2 + -6x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-7X2 + 25x + 2xX2 + -6x2 = 14

Add '-25x' to each side of the equation.
-7X2 + 25x + 2xX2 + -25x + -6x2 = 14 + -25x

Reorder the terms:
-7X2 + 25x + -25x + 2xX2 + -6x2 = 14 + -25x

Combine like terms: 25x + -25x = 0
-7X2 + 0 + 2xX2 + -6x2 = 14 + -25x
-7X2 + 2xX2 + -6x2 = 14 + -25x

Add '6x2' to each side of the equation.
-7X2 + 2xX2 + -6x2 + 6x2 = 14 + -25x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-7X2 + 2xX2 + 0 = 14 + -25x + 6x2
-7X2 + 2xX2 = 14 + -25x + 6x2

Reorder the terms:
-14 + -7X2 + 25x + 2xX2 + -6x2 = 14 + -25x + 6x2 + -14 + 25x + -6x2

Reorder the terms:
-14 + -7X2 + 25x + 2xX2 + -6x2 = 14 + -14 + -25x + 25x + 6x2 + -6x2

Combine like terms: 14 + -14 = 0
-14 + -7X2 + 25x + 2xX2 + -6x2 = 0 + -25x + 25x + 6x2 + -6x2
-14 + -7X2 + 25x + 2xX2 + -6x2 = -25x + 25x + 6x2 + -6x2

Combine like terms: -25x + 25x = 0
-14 + -7X2 + 25x + 2xX2 + -6x2 = 0 + 6x2 + -6x2
-14 + -7X2 + 25x + 2xX2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-14 + -7X2 + 25x + 2xX2 + -6x2 = 0

The solution to this equation could not be determined.

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