x^2=4x-29

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Solution for x^2=4x-29 equation:


Simplifying
x2 = 4x + -29

Reorder the terms:
x2 = -29 + 4x

Solving
x2 = -29 + 4x

Solving for variable 'x'.

Reorder the terms:
29 + -4x + x2 = -29 + 4x + 29 + -4x

Reorder the terms:
29 + -4x + x2 = -29 + 29 + 4x + -4x

Combine like terms: -29 + 29 = 0
29 + -4x + x2 = 0 + 4x + -4x
29 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
29 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -4x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -4x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -4x + x2 = 0 + -29
-4x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-4x + x2 = -29

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 = -29 + 4

Reorder the terms:
4 + -4x + x2 = -29 + 4

Combine like terms: -29 + 4 = -25
4 + -4x + x2 = -25

Factor a perfect square on the left side:
(x + -2)(x + -2) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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