x^2+x+5=x+10

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Solution for x^2+x+5=x+10 equation: 


Simplifying
x2 + x + 5 = x + 10

Reorder the terms:
5 + x + x2 = x + 10

Reorder the terms:
5 + x + x2 = 10 + x

Add '-1x' to each side of the equation.
5 + x + -1x + x2 = 10 + x + -1x

Combine like terms: x + -1x = 0
5 + 0 + x2 = 10 + x + -1x
5 + x2 = 10 + x + -1x

Combine like terms: x + -1x = 0
5 + x2 = 10 + 0
5 + x2 = 10

Solving
5 + x2 = 10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x2 = 10 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = 10 + -5
x2 = 10 + -5

Combine like terms: 10 + -5 = 5
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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