2x^2+5=x^2+25

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Solution for 2x^2+5=x^2+25 equation: 


Simplifying
2x2 + 5 = x2 + 25

Reorder the terms:
5 + 2x2 = x2 + 25

Reorder the terms:
5 + 2x2 = 25 + x2

Solving
5 + 2x2 = 25 + 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 + 2x2 + -1x2 = 25 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
5 + 1x2 = 25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 1x2 = 25 + 0
5 + 1x2 = 25

Add '-5' to each side of the equation.
5 + -5 + 1x2 = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 1x2 = 25 + -5
1x2 = 25 + -5

Combine like terms: 25 + -5 = 20
1x2 = 20

Divide each side by '1'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}

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