q(2-5q)=12-6q-5q^2

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Solution for q(2-5q)=12-6q-5q^2 equation: 


Simplifying
q(2 + -5q) = 12 + -6q + -5q2
(2 * q + -5q * q) = 12 + -6q + -5q2
(2q + -5q2) = 12 + -6q + -5q2

Add '5q2' to each side of the equation.
2q + -5q2 + 5q2 = 12 + -6q + -5q2 + 5q2

Combine like terms: -5q2 + 5q2 = 0
2q + 0 = 12 + -6q + -5q2 + 5q2
2q = 12 + -6q + -5q2 + 5q2

Combine like terms: -5q2 + 5q2 = 0
2q = 12 + -6q + 0
2q = 12 + -6q

Solving
2q = 12 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
2q + 6q = 12 + -6q + 6q

Combine like terms: 2q + 6q = 8q
8q = 12 + -6q + 6q

Combine like terms: -6q + 6q = 0
8q = 12 + 0
8q = 12

Divide each side by '8'.
q = 1.5

Simplifying
q = 1.5

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