x^2=4x-77

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Solution for x^2=4x-77 equation:


Simplifying
x2 = 4x + -77

Reorder the terms:
x2 = -77 + 4x

Solving
x2 = -77 + 4x

Solving for variable 'x'.

Reorder the terms:
77 + -4x + x2 = -77 + 4x + 77 + -4x

Reorder the terms:
77 + -4x + x2 = -77 + 77 + 4x + -4x

Combine like terms: -77 + 77 = 0
77 + -4x + x2 = 0 + 4x + -4x
77 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
77 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + -4x + -77 + x2 = 0 + -77

Reorder the terms:
77 + -77 + -4x + x2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + -4x + x2 = 0 + -77
-4x + x2 = 0 + -77

Combine like terms: 0 + -77 = -77
-4x + x2 = -77

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 = -77 + 4

Reorder the terms:
4 + -4x + x2 = -77 + 4

Combine like terms: -77 + 4 = -73
4 + -4x + x2 = -73

Factor a perfect square on the left side:
(x + -2)(x + -2) = -73

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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