10a^2+7a^2+1a=

Solution for 10a^2+7a^2+1a= equation:

Simplifying
10a2 + 7a2 + 1a = 0

Reorder the terms:
1a + 10a2 + 7a2 = 0

Combine like terms: 10a2 + 7a2 = 17a2
1a + 17a2 = 0

Solving
1a + 17a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + 17a) = 0

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 + 17a)' equal to zero and attempt to solve:

Simplifying
1 + 17a = 0

Solving
1 + 17a = 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 + 17a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 17a = 0 + -1
17a = 0 + -1

Combine like terms: 0 + -1 = -1
17a = -1

Divide each side by '17'.
a = -0.05882352941

Simplifying
a = -0.05882352941
Solution
a = {0, -0.05882352941}