2200-q^2=400+q^2

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Solution for 2200-q^2=400+q^2 equation: 


Simplifying
2200 + -1q2 = 400 + q2

Solving
2200 + -1q2 = 400 + q2

Solving for variable 'q'.

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

Add '-1q2' to each side of the equation.
2200 + -1q2 + -1q2 = 400 + q2 + -1q2

Combine like terms: -1q2 + -1q2 = -2q2
2200 + -2q2 = 400 + q2 + -1q2

Combine like terms: q2 + -1q2 = 0
2200 + -2q2 = 400 + 0
2200 + -2q2 = 400

Add '-2200' to each side of the equation.
2200 + -2200 + -2q2 = 400 + -2200

Combine like terms: 2200 + -2200 = 0
0 + -2q2 = 400 + -2200
-2q2 = 400 + -2200

Combine like terms: 400 + -2200 = -1800
-2q2 = -1800

Divide each side by '-2'.
q2 = 900

Simplifying
q2 = 900

Take the square root of each side:
q = {-30, 30}

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