x^2+15=5x

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Solution for x^2+15=5x equation:


Simplifying
x2 + 15 = 5x

Reorder the terms:
15 + x2 = 5x

Solving
15 + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
15 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -5x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -5x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -5x + x2 = 0 + -15
-5x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-5x + x2 = -15

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -15 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -15 + 6.25

Combine like terms: -15 + 6.25 = -8.75
6.25 + -5x + x2 = -8.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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