(X^2+2x-1)(3x-2)=

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Solution for (X^2+2x-1)(3x-2)= equation: 


Simplifying
(X2 + 2x + -1)(3x + -2) = 0

Reorder the terms:
(-1 + X2 + 2x)(3x + -2) = 0

Reorder the terms:
(-1 + X2 + 2x)(-2 + 3x) = 0

Multiply (-1 + X2 + 2x) * (-2 + 3x)
(-1(-2 + 3x) + X2(-2 + 3x) + 2x * (-2 + 3x)) = 0
((-2 * -1 + 3x * -1) + X2(-2 + 3x) + 2x * (-2 + 3x)) = 0
((2 + -3x) + X2(-2 + 3x) + 2x * (-2 + 3x)) = 0
(2 + -3x + (-2 * X2 + 3x * X2) + 2x * (-2 + 3x)) = 0
(2 + -3x + (-2X2 + 3xX2) + 2x * (-2 + 3x)) = 0
(2 + -3x + -2X2 + 3xX2 + (-2 * 2x + 3x * 2x)) = 0
(2 + -3x + -2X2 + 3xX2 + (-4x + 6x2)) = 0

Reorder the terms:
(2 + -2X2 + -3x + -4x + 3xX2 + 6x2) = 0

Combine like terms: -3x + -4x = -7x
(2 + -2X2 + -7x + 3xX2 + 6x2) = 0

Solving
2 + -2X2 + -7x + 3xX2 + 6x2 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2X2 + -7x + 3xX2 + -2 + 6x2 = 0 + -2

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

Combine like terms: 2 + -2 = 0
0 + -2X2 + -7x + 3xX2 + 6x2 = 0 + -2
-2X2 + -7x + 3xX2 + 6x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2X2 + -7x + 3xX2 + 6x2 = -2

Add '7x' to each side of the equation.
-2X2 + -7x + 3xX2 + 7x + 6x2 = -2 + 7x

Reorder the terms:
-2X2 + -7x + 7x + 3xX2 + 6x2 = -2 + 7x

Combine like terms: -7x + 7x = 0
-2X2 + 0 + 3xX2 + 6x2 = -2 + 7x
-2X2 + 3xX2 + 6x2 = -2 + 7x

Add '-6x2' to each side of the equation.
-2X2 + 3xX2 + 6x2 + -6x2 = -2 + 7x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2X2 + 3xX2 + 0 = -2 + 7x + -6x2
-2X2 + 3xX2 = -2 + 7x + -6x2

Reorder the terms:
2 + -2X2 + -7x + 3xX2 + 6x2 = -2 + 7x + -6x2 + 2 + -7x + 6x2

Reorder the terms:
2 + -2X2 + -7x + 3xX2 + 6x2 = -2 + 2 + 7x + -7x + -6x2 + 6x2

Combine like terms: -2 + 2 = 0
2 + -2X2 + -7x + 3xX2 + 6x2 = 0 + 7x + -7x + -6x2 + 6x2
2 + -2X2 + -7x + 3xX2 + 6x2 = 7x + -7x + -6x2 + 6x2

Combine like terms: 7x + -7x = 0
2 + -2X2 + -7x + 3xX2 + 6x2 = 0 + -6x2 + 6x2
2 + -2X2 + -7x + 3xX2 + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
2 + -2X2 + -7x + 3xX2 + 6x2 = 0

The solution to this equation could not be determined.

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