(x-4.7)(x+1.1)=

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Solution for (x-4.7)(x+1.1)= equation: 


Simplifying
(x + -4.7)(x + 1.1) = 0

Reorder the terms:
(-4.7 + x)(x + 1.1) = 0

Reorder the terms:
(-4.7 + x)(1.1 + x) = 0

Multiply (-4.7 + x) * (1.1 + x)
(-4.7(1.1 + x) + x(1.1 + x)) = 0
((1.1 * -4.7 + x * -4.7) + x(1.1 + x)) = 0
((-5.17 + -4.7x) + x(1.1 + x)) = 0
(-5.17 + -4.7x + (1.1 * x + x * x)) = 0
(-5.17 + -4.7x + (1.1x + x2)) = 0

Combine like terms: -4.7x + 1.1x = -3.6x
(-5.17 + -3.6x + x2) = 0

Solving
-5.17 + -3.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5.17' to each side of the equation.
-5.17 + -3.6x + 5.17 + x2 = 0 + 5.17

Reorder the terms:
-5.17 + 5.17 + -3.6x + x2 = 0 + 5.17

Combine like terms: -5.17 + 5.17 = 0.00
0.00 + -3.6x + x2 = 0 + 5.17
-3.6x + x2 = 0 + 5.17

Combine like terms: 0 + 5.17 = 5.17
-3.6x + x2 = 5.17

The x term is -3.6x.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6x + 3.24 + x2 = 5.17 + 3.24

Reorder the terms:
3.24 + -3.6x + x2 = 5.17 + 3.24

Combine like terms: 5.17 + 3.24 = 8.41
3.24 + -3.6x + x2 = 8.41

Factor a perfect square on the left side:
(x + -1.8)(x + -1.8) = 8.41

Calculate the square root of the right side: 2.9

Break this problem into two subproblems by setting 
(x + -1.8) equal to 2.9 and -2.9.


Subproblem 1
x + -1.8 = 2.9

Simplifying
x + -1.8 = 2.9

Reorder the terms:
-1.8 + x = 2.9

Solving
-1.8 + x = 2.9

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = 2.9 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = 2.9 + 1.8
x = 2.9 + 1.8

Combine like terms: 2.9 + 1.8 = 4.7
x = 4.7

Simplifying
x = 4.7


Subproblem 2
x + -1.8 = -2.9

Simplifying
x + -1.8 = -2.9

Reorder the terms:
-1.8 + x = -2.9

Solving
-1.8 + x = -2.9

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = -2.9 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = -2.9 + 1.8
x = -2.9 + 1.8

Combine like terms: -2.9 + 1.8 = -1.1
x = -1.1

Simplifying
x = -1.1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.7, -1.1}

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