5a^2-8a=4

Solution for 5a^2-8a=4 equation:

Simplifying
5a2 + -8a = 4

Reorder the terms:
-8a + 5a2 = 4

Solving
-8a + 5a2 = 4

Solving for variable 'a'.

Reorder the terms:
-4 + -8a + 5a2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -8a + 5a2 = 0

Factor a trinomial.
(-2 + -5a)(2 + -1a) = 0

Subproblem 1
Set the factor '(-2 + -5a)' equal to zero and attempt to solve:

Simplifying
-2 + -5a = 0

Solving
-2 + -5a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5a = 0 + 2
-5a = 0 + 2

Combine like terms: 0 + 2 = 2
-5a = 2

Divide each side by '-5'.
a = -0.4

Simplifying
a = -0.4
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-0.4, 2}