0.6x^2-4.8x+9=

Solution for 0.6x^2-4.8x+9= equation:

Simplifying
0.6x2 + -4.8x + 9 = 0

Reorder the terms:
9 + -4.8x + 0.6x2 = 0

Solving
9 + -4.8x + 0.6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.6 the coefficient of the squared term: 

Divide each side by '0.6'.
15 + -8x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -8x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -8x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8x + x2 = 0 + -15
-8x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-8x + x2 = -15

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -15 + 16

Reorder the terms:
16 + -8x + x2 = -15 + 16

Combine like terms: -15 + 16 = 1
16 + -8x + x2 = 1

Factor a perfect square on the left side:
(x + -4)(x + -4) = 1

Calculate the square root of the right side: 1

Break this problem into two subproblems by setting 
(x + -4) equal to 1 and -1.

Subproblem 1
x + -4 = 1

Simplifying
x + -4 = 1

Reorder the terms:
-4 + x = 1

Solving
-4 + x = 1

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + x = 1 + 4
x = 1 + 4

Combine like terms: 1 + 4 = 5
x = 5

Simplifying
x = 5

Subproblem 2
x + -4 = -1

Simplifying
x + -4 = -1

Reorder the terms:
-4 + x = -1

Solving
-4 + x = -1

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + x = -1 + 4
x = -1 + 4

Combine like terms: -1 + 4 = 3
x = 3

Simplifying
x = 3

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5, 3}