x^2-2=2x^2-27

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Solution for x^2-2=2x^2-27 equation: 


Simplifying
x2 + -2 = 2x2 + -27

Reorder the terms:
-2 + x2 = 2x2 + -27

Reorder the terms:
-2 + x2 = -27 + 2x2

Solving
-2 + x2 = -27 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-2 + x2 + -2x2 = -27 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-2 + -1x2 = -27 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -1x2 = -27 + 0
-2 + -1x2 = -27

Add '2' to each side of the equation.
-2 + 2 + -1x2 = -27 + 2

Combine like terms: -2 + 2 = 0
0 + -1x2 = -27 + 2
-1x2 = -27 + 2

Combine like terms: -27 + 2 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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