7a^2-50a+48=0

Solution for 7a^2-50a+48=0 equation:

Simplifying
7a2 + -50a + 48 = 0

Reorder the terms:
48 + -50a + 7a2 = 0

Solving
48 + -50a + 7a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -7a)(6 + -1a) = 0

Subproblem 1
Set the factor '(8 + -7a)' equal to zero and attempt to solve:

Simplifying
8 + -7a = 0

Solving
8 + -7a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7a = 0 + -8
-7a = 0 + -8

Combine like terms: 0 + -8 = -8
-7a = -8

Divide each side by '-7'.
a = 1.142857143

Simplifying
a = 1.142857143
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {1.142857143, 6}