x*x-23=52-2*x*x

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Solution for x*x-23=52-2*x*x equation: 


Simplifying
x * x + -23 = 52 + -2x * x

Multiply x * x
x2 + -23 = 52 + -2x * x

Reorder the terms:
-23 + x2 = 52 + -2x * x

Multiply x * x
-23 + x2 = 52 + -2x2

Solving
-23 + x2 = 52 + -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.
-23 + x2 + 2x2 = 52 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-23 + 3x2 = 52 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-23 + 3x2 = 52 + 0
-23 + 3x2 = 52

Add '23' to each side of the equation.
-23 + 23 + 3x2 = 52 + 23

Combine like terms: -23 + 23 = 0
0 + 3x2 = 52 + 23
3x2 = 52 + 23

Combine like terms: 52 + 23 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

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

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