5q^2-4q=4q^2-4q+21

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Solution for 5q^2-4q=4q^2-4q+21 equation: 


Simplifying
5q2 + -4q = 4q2 + -4q + 21

Reorder the terms:
-4q + 5q2 = 4q2 + -4q + 21

Reorder the terms:
-4q + 5q2 = 21 + -4q + 4q2

Add '4q' to each side of the equation.
-4q + 4q + 5q2 = 21 + -4q + 4q + 4q2

Combine like terms: -4q + 4q = 0
0 + 5q2 = 21 + -4q + 4q + 4q2
5q2 = 21 + -4q + 4q + 4q2

Combine like terms: -4q + 4q = 0
5q2 = 21 + 0 + 4q2
5q2 = 21 + 4q2

Solving
5q2 = 21 + 4q2

Solving for variable 'q'.

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

Add '-4q2' to each side of the equation.
5q2 + -4q2 = 21 + 4q2 + -4q2

Combine like terms: 5q2 + -4q2 = 1q2
1q2 = 21 + 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
1q2 = 21 + 0
1q2 = 21

Divide each side by '1'.
q2 = 21

Simplifying
q2 = 21

Take the square root of each side:
q = {-4.582575695, 4.582575695}

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