x^2=10x-29

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Solution for x^2=10x-29 equation:


Simplifying
x2 = 10x + -29

Reorder the terms:
x2 = -29 + 10x

Solving
x2 = -29 + 10x

Solving for variable 'x'.

Reorder the terms:
29 + -10x + x2 = -29 + 10x + 29 + -10x

Reorder the terms:
29 + -10x + x2 = -29 + 29 + 10x + -10x

Combine like terms: -29 + 29 = 0
29 + -10x + x2 = 0 + 10x + -10x
29 + -10x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
29 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -10x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -10x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -10x + x2 = 0 + -29
-10x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-10x + x2 = -29

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -29 + 25

Reorder the terms:
25 + -10x + x2 = -29 + 25

Combine like terms: -29 + 25 = -4
25 + -10x + x2 = -4

Factor a perfect square on the left side:
(x + -5)(x + -5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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