x+5=x^2+x-2

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


Simplifying
x + 5 = x2 + x + -2

Reorder the terms:
5 + x = x2 + x + -2

Reorder the terms:
5 + x = -2 + x + x2

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

Combine like terms: x + -1x = 0
5 + 0 = -2 + x + -1x + x2
5 = -2 + x + -1x + x2

Combine like terms: x + -1x = 0
5 = -2 + 0 + x2
5 = -2 + x2

Solving
5 = -2 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
5 + -1x2 = -2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -1x2 = -2 + 0
5 + -1x2 = -2

Add '-5' to each side of the equation.
5 + -5 + -1x2 = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = -2 + -5
-1x2 = -2 + -5

Combine like terms: -2 + -5 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

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