x^2+15=x^2+2x+1

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Solution for x^2+15=x^2+2x+1 equation:


Simplifying
x2 + 15 = x2 + 2x + 1

Reorder the terms:
15 + x2 = x2 + 2x + 1

Reorder the terms:
15 + x2 = 1 + 2x + x2

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

Combine like terms: x2 + -1x2 = 0
15 + 0 = 1 + 2x + x2 + -1x2
15 = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 = 1 + 2x + 0
15 = 1 + 2x

Solving
15 = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
15 + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -2x = 1 + 0
15 + -2x = 1

Add '-15' to each side of the equation.
15 + -15 + -2x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 1 + -15
-2x = 1 + -15

Combine like terms: 1 + -15 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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