13x^2-22=5x^2+2

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Solution for 13x^2-22=5x^2+2 equation: 


Simplifying
13x2 + -22 = 5x2 + 2

Reorder the terms:
-22 + 13x2 = 5x2 + 2

Reorder the terms:
-22 + 13x2 = 2 + 5x2

Solving
-22 + 13x2 = 2 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-22 + 13x2 + -5x2 = 2 + 5x2 + -5x2

Combine like terms: 13x2 + -5x2 = 8x2
-22 + 8x2 = 2 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-22 + 8x2 = 2 + 0
-22 + 8x2 = 2

Add '22' to each side of the equation.
-22 + 22 + 8x2 = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 8x2 = 2 + 22
8x2 = 2 + 22

Combine like terms: 2 + 22 = 24
8x2 = 24

Divide each side by '8'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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