x^2=4x-20

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Solution for x^2=4x-20 equation:


Simplifying
x2 = 4x + -20

Reorder the terms:
x2 = -20 + 4x

Solving
x2 = -20 + 4x

Solving for variable 'x'.

Reorder the terms:
20 + -4x + x2 = -20 + 4x + 20 + -4x

Reorder the terms:
20 + -4x + x2 = -20 + 20 + 4x + -4x

Combine like terms: -20 + 20 = 0
20 + -4x + x2 = 0 + 4x + -4x
20 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -4x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -4x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4x + x2 = 0 + -20
-4x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-4x + x2 = -20

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 = -20 + 4

Reorder the terms:
4 + -4x + x2 = -20 + 4

Combine like terms: -20 + 4 = -16
4 + -4x + x2 = -16

Factor a perfect square on the left side:
(x + -2)(x + -2) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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