0=15a^2+4a-3

Solution for 0=15a^2+4a-3 equation:

Simplifying
0 = 15a2 + 4a + -3

Reorder the terms:
0 = -3 + 4a + 15a2

Solving
0 = -3 + 4a + 15a2

Solving for variable 'a'.

Combine like terms: 0 + 3 = 3
3 + -4a + -15a2 = -3 + 4a + 15a2 + 3 + -4a + -15a2

Reorder the terms:
3 + -4a + -15a2 = -3 + 3 + 4a + -4a + 15a2 + -15a2

Combine like terms: -3 + 3 = 0
3 + -4a + -15a2 = 0 + 4a + -4a + 15a2 + -15a2
3 + -4a + -15a2 = 4a + -4a + 15a2 + -15a2

Combine like terms: 4a + -4a = 0
3 + -4a + -15a2 = 0 + 15a2 + -15a2
3 + -4a + -15a2 = 15a2 + -15a2

Combine like terms: 15a2 + -15a2 = 0
3 + -4a + -15a2 = 0

Factor a trinomial.
(1 + -3a)(3 + 5a) = 0

Subproblem 1
Set the factor '(1 + -3a)' equal to zero and attempt to solve:

Simplifying
1 + -3a = 0

Solving
1 + -3a = 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 + -3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 0 + -1
-3a = 0 + -1

Combine like terms: 0 + -1 = -1
-3a = -1

Divide each side by '-3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
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 = {0.3333333333, -0.6}