X^2+20-3x(x-1)=0

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Solution for X^2+20-3x(x-1)=0 equation: 


Simplifying
X2 + 20 + -3x(x + -1) = 0

Reorder the terms:
X2 + 20 + -3x(-1 + x) = 0
X2 + 20 + (-1 * -3x + x * -3x) = 0
X2 + 20 + (3x + -3x2) = 0

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

Solving
20 + X2 + 3x + -3x2 = 0

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X2 + 3x + -20 + -3x2 = 0 + -20

Reorder the terms:
20 + -20 + X2 + 3x + -3x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + X2 + 3x + -3x2 = 0 + -20
X2 + 3x + -3x2 = 0 + -20

Combine like terms: 0 + -20 = -20
X2 + 3x + -3x2 = -20

Add '-3x' to each side of the equation.
X2 + 3x + -3x + -3x2 = -20 + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 + -3x2 = -20 + -3x
X2 + -3x2 = -20 + -3x

Add '3x2' to each side of the equation.
X2 + -3x2 + 3x2 = -20 + -3x + 3x2

Combine like terms: -3x2 + 3x2 = 0
X2 + 0 = -20 + -3x + 3x2
X2 = -20 + -3x + 3x2

Simplifying
X2 = -20 + -3x + 3x2

Reorder the terms:
20 + X2 + 3x + -3x2 = -20 + -3x + 3x2 + 20 + 3x + -3x2

Reorder the terms:
20 + X2 + 3x + -3x2 = -20 + 20 + -3x + 3x + 3x2 + -3x2

Combine like terms: -20 + 20 = 0
20 + X2 + 3x + -3x2 = 0 + -3x + 3x + 3x2 + -3x2
20 + X2 + 3x + -3x2 = -3x + 3x + 3x2 + -3x2

Combine like terms: -3x + 3x = 0
20 + X2 + 3x + -3x2 = 0 + 3x2 + -3x2
20 + X2 + 3x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + X2 + 3x + -3x2 = 0

The solution to this equation could not be determined.

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