X^2-(3x-2)+2x(4x-1)=

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Solution for X^2-(3x-2)+2x(4x-1)= equation: 


Simplifying
X2 + -1(3x + -2) + 2x(4x + -1) = 0

Reorder the terms:
X2 + -1(-2 + 3x) + 2x(4x + -1) = 0
X2 + (-2 * -1 + 3x * -1) + 2x(4x + -1) = 0
X2 + (2 + -3x) + 2x(4x + -1) = 0

Reorder the terms:
X2 + 2 + -3x + 2x(-1 + 4x) = 0
X2 + 2 + -3x + (-1 * 2x + 4x * 2x) = 0
X2 + 2 + -3x + (-2x + 8x2) = 0

Reorder the terms:
2 + X2 + -3x + -2x + 8x2 = 0

Combine like terms: -3x + -2x = -5x
2 + X2 + -5x + 8x2 = 0

Solving
2 + X2 + -5x + 8x2 = 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 + X2 + -5x + -2 + 8x2 = 0 + -2

Reorder the terms:
2 + -2 + X2 + -5x + 8x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + -5x + 8x2 = 0 + -2
X2 + -5x + 8x2 = 0 + -2

Combine like terms: 0 + -2 = -2
X2 + -5x + 8x2 = -2

Add '5x' to each side of the equation.
X2 + -5x + 5x + 8x2 = -2 + 5x

Combine like terms: -5x + 5x = 0
X2 + 0 + 8x2 = -2 + 5x
X2 + 8x2 = -2 + 5x

Add '-8x2' to each side of the equation.
X2 + 8x2 + -8x2 = -2 + 5x + -8x2

Combine like terms: 8x2 + -8x2 = 0
X2 + 0 = -2 + 5x + -8x2
X2 = -2 + 5x + -8x2

Simplifying
X2 = -2 + 5x + -8x2

Reorder the terms:
2 + X2 + -5x + 8x2 = -2 + 5x + -8x2 + 2 + -5x + 8x2

Reorder the terms:
2 + X2 + -5x + 8x2 = -2 + 2 + 5x + -5x + -8x2 + 8x2

Combine like terms: -2 + 2 = 0
2 + X2 + -5x + 8x2 = 0 + 5x + -5x + -8x2 + 8x2
2 + X2 + -5x + 8x2 = 5x + -5x + -8x2 + 8x2

Combine like terms: 5x + -5x = 0
2 + X2 + -5x + 8x2 = 0 + -8x2 + 8x2
2 + X2 + -5x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
2 + X2 + -5x + 8x2 = 0

The solution to this equation could not be determined.

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