6q^2-3q=5q-8q+24

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Solution for 6q^2-3q=5q-8q+24 equation: 


Simplifying
6q2 + -3q = 5q + -8q + 24

Reorder the terms:
-3q + 6q2 = 5q + -8q + 24

Reorder the terms:
-3q + 6q2 = 24 + 5q + -8q

Combine like terms: 5q + -8q = -3q
-3q + 6q2 = 24 + -3q

Add '3q' to each side of the equation.
-3q + 3q + 6q2 = 24 + -3q + 3q

Combine like terms: -3q + 3q = 0
0 + 6q2 = 24 + -3q + 3q
6q2 = 24 + -3q + 3q

Combine like terms: -3q + 3q = 0
6q2 = 24 + 0
6q2 = 24

Solving
6q2 = 24

Solving for variable 'q'.

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

Divide each side by '6'.
q2 = 4

Simplifying
q2 = 4

Take the square root of each side:
q = {-2, 2}

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