4x-x^2=7

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Solution for 4x-x^2=7 equation:


Simplifying
4x + -1x2 = 7

Solving
4x + -1x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + 4x + -1x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 4x + -1x2 = 0

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

Divide each side by '-1'.
7 + -4x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -4x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x + x2 = 0 + -7
-4x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4x + x2 = -7

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 = -7 + 4

Reorder the terms:
4 + -4x + x2 = -7 + 4

Combine like terms: -7 + 4 = -3
4 + -4x + x2 = -3

Factor a perfect square on the left side:
(x + -2)(x + -2) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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