4x^2-6x=x^2-4

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Solution for 4x^2-6x=x^2-4 equation: 


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

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

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

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

Solving for variable 'x'.

Reorder the terms:
4 + -6x + 4x2 + -1x2 = -4 + x2 + 4 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
4 + -6x + 3x2 = -4 + x2 + 4 + -1x2

Reorder the terms:
4 + -6x + 3x2 = -4 + 4 + x2 + -1x2

Combine like terms: -4 + 4 = 0
4 + -6x + 3x2 = 0 + x2 + -1x2
4 + -6x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -6x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.333333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -2x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -2x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.333333333
-2x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-2x + x2 = -1.333333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.333333333 + 1

Reorder the terms:
1 + -2x + x2 = -1.333333333 + 1

Combine like terms: -1.333333333 + 1 = -0.333333333
1 + -2x + x2 = -0.333333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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