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

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


Simplifying
X2 + 2x + -3 = x(x + -5)

Reorder the terms:
-3 + X2 + 2x = x(x + -5)

Reorder the terms:
-3 + X2 + 2x = x(-5 + x)
-3 + X2 + 2x = (-5 * x + x * x)
-3 + X2 + 2x = (-5x + x2)

Solving
-3 + X2 + 2x = -5x + x2

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X2 + 3 + 2x = -5x + 3 + x2

Reorder the terms:
-3 + 3 + X2 + 2x = -5x + 3 + x2

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

Reorder the terms:
X2 + 2x = 3 + -5x + x2

Add '-2x' to each side of the equation.
X2 + 2x + -2x = 3 + -5x + -2x + x2

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

Combine like terms: -5x + -2x = -7x
X2 = 3 + -7x + x2

Simplifying
X2 = 3 + -7x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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