5a^2+8a+3=(5a+3)

Solution for 5a^2+8a+3=(5a+3) equation:

Simplifying
5a2 + 8a + 3 = (5a + 3)

Reorder the terms:
3 + 8a + 5a2 = (5a + 3)

Reorder the terms:
3 + 8a + 5a2 = (3 + 5a)

Remove parenthesis around (3 + 5a)
3 + 8a + 5a2 = 3 + 5a

Add '-3' to each side of the equation.
3 + 8a + -3 + 5a2 = 3 + -3 + 5a

Reorder the terms:
3 + -3 + 8a + 5a2 = 3 + -3 + 5a

Combine like terms: 3 + -3 = 0
0 + 8a + 5a2 = 3 + -3 + 5a
8a + 5a2 = 3 + -3 + 5a

Combine like terms: 3 + -3 = 0
8a + 5a2 = 0 + 5a
8a + 5a2 = 5a

Solving
8a + 5a2 = 5a

Solving for variable 'a'.

Reorder the terms:
8a + -5a + 5a2 = 5a + -5a

Combine like terms: 8a + -5a = 3a
3a + 5a2 = 5a + -5a

Combine like terms: 5a + -5a = 0
3a + 5a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + 5a) = 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 '(3 + 5a)' equal to zero and attempt to solve:

Simplifying
3 + 5a = 0

Solving
3 + 5a = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 0 + -3
5a = 0 + -3

Combine like terms: 0 + -3 = -3
5a = -3

Divide each side by '5'.
a = -0.6

Simplifying
a = -0.6
Solution
a = {0, -0.6}