y(10y-46)+48=0

Solution for y(10y-46)+48=0 equation:

Simplifying
y(10y + -46) + 48 = 0

Reorder the terms:
y(-46 + 10y) + 48 = 0
(-46 * y + 10y * y) + 48 = 0
(-46y + 10y2) + 48 = 0

Reorder the terms:
48 + -46y + 10y2 = 0

Solving
48 + -46y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -23y + 5y2) = 0

Factor a trinomial.
2((8 + -5y)(3 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + -5y)' equal to zero and attempt to solve:

Simplifying
8 + -5y = 0

Solving
8 + -5y = 0

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

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

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

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

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

Simplifying
y = 1.6
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {1.6, 3}