4x-x^2-3=6

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Solution for 4x-x^2-3=6 equation:


Simplifying
4x + -1x2 + -3 = 6

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

Solving
-3 + 4x + -1x2 = 6

Solving for variable 'x'.

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

Combine like terms: -3 + -6 = -9
-9 + 4x + -1x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-9 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
9 + -4x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -4x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -4x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x + x2 = 0 + -9
-4x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4x + x2 = -9

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -9 + 4

Reorder the terms:
4 + -4x + x2 = -9 + 4

Combine like terms: -9 + 4 = -5
4 + -4x + x2 = -5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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