a=a^2+1.083a^2+1.57a^2

Solution for a=a^2+1.083a^2+1.57a^2 equation:

Simplifying
a = a2 + 1.083a2 + 1.57a2

Combine like terms: a2 + 1.083a2 = 2.083a2
a = 2.083a2 + 1.57a2

Combine like terms: 2.083a2 + 1.57a2 = 3.653a2
a = 3.653a2

Solving
a = 3.653a2

Solving for variable 'a'.

Combine like terms: 3.653a2 + -3.653a2 = 0.000
a + -3.653a2 = 0.000

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -3.653a) = 0.000

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 + -3.653a)' equal to zero and attempt to solve:

Simplifying
1 + -3.653a = 0

Solving
1 + -3.653a = 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 + -3.653a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3.653a = 0 + -1
-3.653a = 0 + -1

Combine like terms: 0 + -1 = -1
-3.653a = -1

Divide each side by '-3.653'.
a = 0.2737476047

Simplifying
a = 0.2737476047
Solution
a = {0, 0.2737476047}