(2-x)(2.3-x)=

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Solution for (2-x)(2.3-x)= equation: 


Simplifying
(2 + -1x)(2.3 + -1x) = 0

Multiply (2 + -1x) * (2.3 + -1x)
(2(2.3 + -1x) + -1x * (2.3 + -1x)) = 0
((2.3 * 2 + -1x * 2) + -1x * (2.3 + -1x)) = 0
((4.6 + -2x) + -1x * (2.3 + -1x)) = 0
(4.6 + -2x + (2.3 * -1x + -1x * -1x)) = 0
(4.6 + -2x + (-2.3x + 1x2)) = 0

Combine like terms: -2x + -2.3x = -4.3x
(4.6 + -4.3x + 1x2) = 0

Solving
4.6 + -4.3x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4.6' to each side of the equation.
4.6 + -4.3x + -4.6 + x2 = 0 + -4.6

Reorder the terms:
4.6 + -4.6 + -4.3x + x2 = 0 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -4.3x + x2 = 0 + -4.6
-4.3x + x2 = 0 + -4.6

Combine like terms: 0 + -4.6 = -4.6
-4.3x + x2 = -4.6

The x term is -4.3x.  Take half its coefficient (-2.15).
Square it (4.6225) and add it to both sides.

Add '4.6225' to each side of the equation.
-4.3x + 4.6225 + x2 = -4.6 + 4.6225

Reorder the terms:
4.6225 + -4.3x + x2 = -4.6 + 4.6225

Combine like terms: -4.6 + 4.6225 = 0.0225
4.6225 + -4.3x + x2 = 0.0225

Factor a perfect square on the left side:
(x + -2.15)(x + -2.15) = 0.0225

Calculate the square root of the right side: 0.15

Break this problem into two subproblems by setting 
(x + -2.15) equal to 0.15 and -0.15.


Subproblem 1
x + -2.15 = 0.15

Simplifying
x + -2.15 = 0.15

Reorder the terms:
-2.15 + x = 0.15

Solving
-2.15 + x = 0.15

Solving for variable 'x'.

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

Add '2.15' to each side of the equation.
-2.15 + 2.15 + x = 0.15 + 2.15

Combine like terms: -2.15 + 2.15 = 0.00
0.00 + x = 0.15 + 2.15
x = 0.15 + 2.15

Combine like terms: 0.15 + 2.15 = 2.3
x = 2.3

Simplifying
x = 2.3


Subproblem 2
x + -2.15 = -0.15

Simplifying
x + -2.15 = -0.15

Reorder the terms:
-2.15 + x = -0.15

Solving
-2.15 + x = -0.15

Solving for variable 'x'.

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

Add '2.15' to each side of the equation.
-2.15 + 2.15 + x = -0.15 + 2.15

Combine like terms: -2.15 + 2.15 = 0.00
0.00 + x = -0.15 + 2.15
x = -0.15 + 2.15

Combine like terms: -0.15 + 2.15 = 2
x = 2

Simplifying
x = 2


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.3, 2}

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