5x^2+48=38x

Solution for 5x^2+48=38x equation:

Simplifying
5x2 + 48 = 38x

Reorder the terms:
48 + 5x2 = 38x

Solving
48 + 5x2 = 38x

Solving for variable 'x'.

Reorder the terms:
48 + -38x + 5x2 = 38x + -38x

Combine like terms: 38x + -38x = 0
48 + -38x + 5x2 = 0

Factor a trinomial.
(8 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

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

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

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

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

Simplifying
x = 6
Solution
x = {1.6, 6}