3X^2-10=2X^2+2

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Solution for 3X^2-10=2X^2+2 equation: 


Simplifying
3X2 + -10 = 2X2 + 2

Reorder the terms:
-10 + 3X2 = 2X2 + 2

Reorder the terms:
-10 + 3X2 = 2 + 2X2

Solving
-10 + 3X2 = 2 + 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.
-10 + 3X2 + -2X2 = 2 + 2X2 + -2X2

Combine like terms: 3X2 + -2X2 = 1X2
-10 + 1X2 = 2 + 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
-10 + 1X2 = 2 + 0
-10 + 1X2 = 2

Add '10' to each side of the equation.
-10 + 10 + 1X2 = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 1X2 = 2 + 10
1X2 = 2 + 10

Combine like terms: 2 + 10 = 12
1X2 = 12

Divide each side by '1'.
X2 = 12

Simplifying
X2 = 12

Take the square root of each side:
X = {-3.464101615, 3.464101615}

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