7a^2=50a+48

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

Simplifying
7a2 = 50a + 48

Reorder the terms:
7a2 = 48 + 50a

Solving
7a2 = 48 + 50a

Solving for variable 'a'.

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

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

Combine like terms: 48 + -48 = 0
-48 + -50a + 7a2 = 0 + 50a + -50a
-48 + -50a + 7a2 = 50a + -50a

Combine like terms: 50a + -50a = 0
-48 + -50a + 7a2 = 0

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

Subproblem 1
Set the factor '(-6 + -7a)' equal to zero and attempt to solve:

Simplifying
-6 + -7a = 0

Solving
-6 + -7a = 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 + -7a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 0 + 6
-7a = 0 + 6

Combine like terms: 0 + 6 = 6
-7a = 6

Divide each side by '-7'.
a = -0.8571428571

Simplifying
a = -0.8571428571
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-0.8571428571, 8}