X^2+7=13-2X^2

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Solution for X^2+7=13-2X^2 equation: 


Simplifying
X2 + 7 = 13 + -2X2

Reorder the terms:
7 + X2 = 13 + -2X2

Solving
7 + X2 = 13 + -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.
7 + X2 + 2X2 = 13 + -2X2 + 2X2

Combine like terms: X2 + 2X2 = 3X2
7 + 3X2 = 13 + -2X2 + 2X2

Combine like terms: -2X2 + 2X2 = 0
7 + 3X2 = 13 + 0
7 + 3X2 = 13

Add '-7' to each side of the equation.
7 + -7 + 3X2 = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3X2 = 13 + -7
3X2 = 13 + -7

Combine like terms: 13 + -7 = 6
3X2 = 6

Divide each side by '3'.
X2 = 2

Simplifying
X2 = 2

Take the square root of each side:
X = {-1.414213562, 1.414213562}

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