x^2+28=4x

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Solution for x^2+28=4x equation:


Simplifying
x2 + 28 = 4x

Reorder the terms:
28 + x2 = 4x

Solving
28 + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
28 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
28 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + -4x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + -4x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -4x + x2 = 0 + -28
-4x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-4x + x2 = -28

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 = -28 + 4

Reorder the terms:
4 + -4x + x2 = -28 + 4

Combine like terms: -28 + 4 = -24
4 + -4x + x2 = -24

Factor a perfect square on the left side:
(x + -2)(x + -2) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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