(x^2)-(10x)+(45)=0

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Solution for (x^2)-(10x)+(45)=0 equation:


Simplifying
(x2) + -1(10x) + (45) = 0
x2 + -1(10x) + (45) = 0

Remove parenthesis around (10x)
x2 + -1 * 10x + (45) = 0

Multiply -1 * 10
x2 + -10x + (45) = 0
x2 + -10x + 45 = 0

Reorder the terms:
45 + -10x + x2 = 0

Solving
45 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -10x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + -10x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -10x + x2 = 0 + -45
-10x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-10x + x2 = -45

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 = -45 + 25

Reorder the terms:
25 + -10x + x2 = -45 + 25

Combine like terms: -45 + 25 = -20
25 + -10x + x2 = -20

Factor a perfect square on the left side:
(x + -5)(x + -5) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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