3q^2=10-2q^2

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Solution for 3q^2=10-2q^2 equation: 


Simplifying
3q2 = 10 + -2q2

Solving
3q2 = 10 + -2q2

Solving for variable 'q'.

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

Add '2q2' to each side of the equation.
3q2 + 2q2 = 10 + -2q2 + 2q2

Combine like terms: 3q2 + 2q2 = 5q2
5q2 = 10 + -2q2 + 2q2

Combine like terms: -2q2 + 2q2 = 0
5q2 = 10 + 0
5q2 = 10

Divide each side by '5'.
q2 = 2

Simplifying
q2 = 2

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

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