4q^2-28q=0

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Solution for 4q^2-28q=0 equation: 


Simplifying
4q2 + -28q = 0

Reorder the terms:
-28q + 4q2 = 0

Solving
-28q + 4q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '4q'.
4q(-7 + q) = 0

Ignore the factor 4.

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 '(-7 + q)' equal to zero and attempt to solve:

Simplifying
-7 + q = 0

Solving
-7 + q = 0

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

Add '7' to each side of the equation.
-7 + 7 + q = 0 + 7

Combine like terms: -7 + 7 = 0
0 + q = 0 + 7
q = 0 + 7

Combine like terms: 0 + 7 = 7
q = 7

Simplifying
q = 7
Solution
q = {0, 7}

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