X^2+4x=x^2-6x+5

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Solution for X^2+4x=x^2-6x+5 equation:


Simplifying
X2 + 4x = x2 + -6x + 5

Reorder the terms:
X2 + 4x = 5 + -6x + x2

Solving
X2 + 4x = 5 + -6x + x2

Solving for variable 'X'.

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

Add '-4x' to each side of the equation.
X2 + 4x + -4x = 5 + -6x + -4x + x2

Combine like terms: 4x + -4x = 0
X2 + 0 = 5 + -6x + -4x + x2
X2 = 5 + -6x + -4x + x2

Combine like terms: -6x + -4x = -10x
X2 = 5 + -10x + x2

Simplifying
X2 = 5 + -10x + x2

Reorder the terms:
-5 + X2 + 10x + -1x2 = 5 + -10x + x2 + -5 + 10x + -1x2

Reorder the terms:
-5 + X2 + 10x + -1x2 = 5 + -5 + -10x + 10x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + X2 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2
-5 + X2 + 10x + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-5 + X2 + 10x + -1x2 = 0 + x2 + -1x2
-5 + X2 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + X2 + 10x + -1x2 = 0

The solution to this equation could not be determined.

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