25+q^2=2q^2

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Solution for 25+q^2=2q^2 equation: 


Simplifying
25 + q2 = 2q2

Solving
25 + q2 = 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.
25 + q2 + -2q2 = 2q2 + -2q2

Combine like terms: q2 + -2q2 = -1q2
25 + -1q2 = 2q2 + -2q2

Combine like terms: 2q2 + -2q2 = 0
25 + -1q2 = 0

Add '-25' to each side of the equation.
25 + -25 + -1q2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1q2 = 0 + -25
-1q2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1q2 = -25

Divide each side by '-1'.
q2 = 25

Simplifying
q2 = 25

Take the square root of each side:
q = {-5, 5}

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