12q^2-5q(2q-1)=

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Solution for 12q^2-5q(2q-1)= equation: 


Simplifying
12q2 + -5q(2q + -1) = 0

Reorder the terms:
12q2 + -5q(-1 + 2q) = 0
12q2 + (-1 * -5q + 2q * -5q) = 0
12q2 + (5q + -10q2) = 0

Reorder the terms:
5q + 12q2 + -10q2 = 0

Combine like terms: 12q2 + -10q2 = 2q2
5q + 2q2 = 0

Solving
5q + 2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(5 + 2q) = 0


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

Subproblem 2
Set the factor '(5 + 2q)' equal to zero and attempt to solve:

Simplifying
5 + 2q = 0

Solving
5 + 2q = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2q = 0 + -5
2q = 0 + -5

Combine like terms: 0 + -5 = -5
2q = -5

Divide each side by '2'.
q = -2.5

Simplifying
q = -2.5
Solution
q = {0, -2.5}

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