2x^2-25=x^2+25

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


Simplifying
2x2 + -25 = x2 + 25

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

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

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

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

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

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

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

Combine like terms: 25 + 25 = 50
1x2 = 50

Divide each side by '1'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}

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