(x-9.6)(3x+0.9)=

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Solution for (x-9.6)(3x+0.9)= equation: 


Simplifying
(x + -9.6)(3x + 0.9) = 0

Reorder the terms:
(-9.6 + x)(3x + 0.9) = 0

Reorder the terms:
(-9.6 + x)(0.9 + 3x) = 0

Multiply (-9.6 + x) * (0.9 + 3x)
(-9.6(0.9 + 3x) + x(0.9 + 3x)) = 0
((0.9 * -9.6 + 3x * -9.6) + x(0.9 + 3x)) = 0
((-8.64 + -28.8x) + x(0.9 + 3x)) = 0
(-8.64 + -28.8x + (0.9 * x + 3x * x)) = 0
(-8.64 + -28.8x + (0.9x + 3x2)) = 0

Combine like terms: -28.8x + 0.9x = -27.9x
(-8.64 + -27.9x + 3x2) = 0

Solving
-8.64 + -27.9x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-2.88 + -9.3x + x2 = 0

Move the constant term to the right:

Add '2.88' to each side of the equation.
-2.88 + -9.3x + 2.88 + x2 = 0 + 2.88

Reorder the terms:
-2.88 + 2.88 + -9.3x + x2 = 0 + 2.88

Combine like terms: -2.88 + 2.88 = 0.00
0.00 + -9.3x + x2 = 0 + 2.88
-9.3x + x2 = 0 + 2.88

Combine like terms: 0 + 2.88 = 2.88
-9.3x + x2 = 2.88

The x term is -9.3x.  Take half its coefficient (-4.65).
Square it (21.6225) and add it to both sides.

Add '21.6225' to each side of the equation.
-9.3x + 21.6225 + x2 = 2.88 + 21.6225

Reorder the terms:
21.6225 + -9.3x + x2 = 2.88 + 21.6225

Combine like terms: 2.88 + 21.6225 = 24.5025
21.6225 + -9.3x + x2 = 24.5025

Factor a perfect square on the left side:
(x + -4.65)(x + -4.65) = 24.5025

Calculate the square root of the right side: 4.95

Break this problem into two subproblems by setting 
(x + -4.65) equal to 4.95 and -4.95.


Subproblem 1
x + -4.65 = 4.95

Simplifying
x + -4.65 = 4.95

Reorder the terms:
-4.65 + x = 4.95

Solving
-4.65 + x = 4.95

Solving for variable 'x'.

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

Add '4.65' to each side of the equation.
-4.65 + 4.65 + x = 4.95 + 4.65

Combine like terms: -4.65 + 4.65 = 0.00
0.00 + x = 4.95 + 4.65
x = 4.95 + 4.65

Combine like terms: 4.95 + 4.65 = 9.6
x = 9.6

Simplifying
x = 9.6


Subproblem 2
x + -4.65 = -4.95

Simplifying
x + -4.65 = -4.95

Reorder the terms:
-4.65 + x = -4.95

Solving
-4.65 + x = -4.95

Solving for variable 'x'.

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

Add '4.65' to each side of the equation.
-4.65 + 4.65 + x = -4.95 + 4.65

Combine like terms: -4.65 + 4.65 = 0.00
0.00 + x = -4.95 + 4.65
x = -4.95 + 4.65

Combine like terms: -4.95 + 4.65 = -0.3
x = -0.3

Simplifying
x = -0.3


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.6, -0.3}

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