=7a^2-14a

Solution for =7a^2-14a equation:

Simplifying
0 = 7a2 + -14a

Reorder the terms:
0 = -14a + 7a2

Solving
0 = -14a + 7a2

Solving for variable 'a'.
Remove the zero:
14a + -7a2 = -14a + 7a2 + 14a + -7a2

Reorder the terms:
14a + -7a2 = -14a + 14a + 7a2 + -7a2

Combine like terms: -14a + 14a = 0
14a + -7a2 = 0 + 7a2 + -7a2
14a + -7a2 = 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
14a + -7a2 = 0

Factor out the Greatest Common Factor (GCF), '7a'.
7a(2 + -1a) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {0, 2}