x^2+60=2x+15

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Solution for x^2+60=2x+15 equation:


Simplifying
x2 + 60 = 2x + 15

Reorder the terms:
60 + x2 = 2x + 15

Reorder the terms:
60 + x2 = 15 + 2x

Solving
60 + x2 = 15 + 2x

Solving for variable 'x'.

Reorder the terms:
60 + -15 + -2x + x2 = 15 + 2x + -15 + -2x

Combine like terms: 60 + -15 = 45
45 + -2x + x2 = 15 + 2x + -15 + -2x

Reorder the terms:
45 + -2x + x2 = 15 + -15 + 2x + -2x

Combine like terms: 15 + -15 = 0
45 + -2x + x2 = 0 + 2x + -2x
45 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -2x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + -2x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2x + x2 = 0 + -45
-2x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-2x + x2 = -45

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -45 + 1

Reorder the terms:
1 + -2x + x2 = -45 + 1

Combine like terms: -45 + 1 = -44
1 + -2x + x2 = -44

Factor a perfect square on the left side:
(x + -1)(x + -1) = -44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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