X^2+5x-1=x(x+3)+7

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Solution for X^2+5x-1=x(x+3)+7 equation: 


Simplifying
X2 + 5x + -1 = x(x + 3) + 7

Reorder the terms:
-1 + X2 + 5x = x(x + 3) + 7

Reorder the terms:
-1 + X2 + 5x = x(3 + x) + 7
-1 + X2 + 5x = (3 * x + x * x) + 7
-1 + X2 + 5x = (3x + x2) + 7

Reorder the terms:
-1 + X2 + 5x = 7 + 3x + x2

Solving
-1 + X2 + 5x = 7 + 3x + x2

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + 1 + 5x = 7 + 3x + 1 + x2

Reorder the terms:
-1 + 1 + X2 + 5x = 7 + 3x + 1 + x2

Combine like terms: -1 + 1 = 0
0 + X2 + 5x = 7 + 3x + 1 + x2
X2 + 5x = 7 + 3x + 1 + x2

Reorder the terms:
X2 + 5x = 7 + 1 + 3x + x2

Combine like terms: 7 + 1 = 8
X2 + 5x = 8 + 3x + x2

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

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

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

Simplifying
X2 = 8 + -2x + x2

Reorder the terms:
-8 + X2 + 2x + -1x2 = 8 + -2x + x2 + -8 + 2x + -1x2

Reorder the terms:
-8 + X2 + 2x + -1x2 = 8 + -8 + -2x + 2x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + X2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-8 + X2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-8 + X2 + 2x + -1x2 = 0 + x2 + -1x2
-8 + X2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + X2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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