2a(a-3)+5a=

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

Simplifying
2a(a + -3) + 5a = 0

Reorder the terms:
2a(-3 + a) + 5a = 0
(-3 * 2a + a * 2a) + 5a = 0
(-6a + 2a2) + 5a = 0

Reorder the terms:
-6a + 5a + 2a2 = 0

Combine like terms: -6a + 5a = -1a
-1a + 2a2 = 0

Solving
-1a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + 2a) = 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 + 2a)' equal to zero and attempt to solve:

Simplifying
-1 + 2a = 0

Solving
-1 + 2a = 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 + 2a = 0 + 1

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

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

Divide each side by '2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {0, 0.5}