X^2-3x+5=x(x-8)+20

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Solution for X^2-3x+5=x(x-8)+20 equation: 


Simplifying
X2 + -3x + 5 = x(x + -8) + 20

Reorder the terms:
5 + X2 + -3x = x(x + -8) + 20

Reorder the terms:
5 + X2 + -3x = x(-8 + x) + 20
5 + X2 + -3x = (-8 * x + x * x) + 20
5 + X2 + -3x = (-8x + x2) + 20

Reorder the terms:
5 + X2 + -3x = 20 + -8x + x2

Solving
5 + X2 + -3x = 20 + -8x + x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + -5 + -3x = 20 + -8x + -5 + x2

Reorder the terms:
5 + -5 + X2 + -3x = 20 + -8x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + X2 + -3x = 20 + -8x + -5 + x2
X2 + -3x = 20 + -8x + -5 + x2

Reorder the terms:
X2 + -3x = 20 + -5 + -8x + x2

Combine like terms: 20 + -5 = 15
X2 + -3x = 15 + -8x + x2

Add '3x' to each side of the equation.
X2 + -3x + 3x = 15 + -8x + 3x + x2

Combine like terms: -3x + 3x = 0
X2 + 0 = 15 + -8x + 3x + x2
X2 = 15 + -8x + 3x + x2

Combine like terms: -8x + 3x = -5x
X2 = 15 + -5x + x2

Simplifying
X2 = 15 + -5x + x2

Reorder the terms:
-15 + X2 + 5x + -1x2 = 15 + -5x + x2 + -15 + 5x + -1x2

Reorder the terms:
-15 + X2 + 5x + -1x2 = 15 + -15 + -5x + 5x + x2 + -1x2

Combine like terms: 15 + -15 = 0
-15 + X2 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
-15 + X2 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-15 + X2 + 5x + -1x2 = 0 + x2 + -1x2
-15 + X2 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + X2 + 5x + -1x2 = 0

The solution to this equation could not be determined.

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