20a^2-84a^2+16a=

Solution for 20a^2-84a^2+16a= equation:

Simplifying
20a2 + -84a2 + 16a = 0

Reorder the terms:
16a + 20a2 + -84a2 = 0

Combine like terms: 20a2 + -84a2 = -64a2
16a + -64a2 = 0

Solving
16a + -64a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '16a'.
16a(1 + -4a) = 0

Ignore the factor 16.
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 '(1 + -4a)' equal to zero and attempt to solve:

Simplifying
1 + -4a = 0

Solving
1 + -4a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4a = 0 + -1
-4a = 0 + -1

Combine like terms: 0 + -1 = -1
-4a = -1

Divide each side by '-4'.
a = 0.25

Simplifying
a = 0.25
Solution
a = {0, 0.25}