(x+3)(x-2)=0.01

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Solution for (x+3)(x-2)=0.01 equation: 


Simplifying
(x + 3)(x + -2) = 0.01

Reorder the terms:
(3 + x)(x + -2) = 0.01

Reorder the terms:
(3 + x)(-2 + x) = 0.01

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x)) = 0.01
((-2 * 3 + x * 3) + x(-2 + x)) = 0.01
((-6 + 3x) + x(-2 + x)) = 0.01
(-6 + 3x + (-2 * x + x * x)) = 0.01
(-6 + 3x + (-2x + x2)) = 0.01

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2) = 0.01

Solving
-6 + 1x + x2 = 0.01

Solving for variable 'x'.

Reorder the terms:
-6 + -0.01 + 1x + x2 = 0.01 + -0.01

Combine like terms: -6 + -0.01 = -6.01
-6.01 + 1x + x2 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-6.01 + 1x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '6.01' to each side of the equation.
-6.01 + 1x + 6.01 + x2 = 0.00 + 6.01

Reorder the terms:
-6.01 + 6.01 + 1x + x2 = 0.00 + 6.01

Combine like terms: -6.01 + 6.01 = 0.00
0.00 + 1x + x2 = 0.00 + 6.01
1x + x2 = 0.00 + 6.01

Combine like terms: 0.00 + 6.01 = 6.01
1x + x2 = 6.01

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 6.01 + 0.25

Reorder the terms:
0.25 + x + x2 = 6.01 + 0.25

Combine like terms: 6.01 + 0.25 = 6.26
0.25 + x + x2 = 6.26

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 6.26

Calculate the square root of the right side: 2.501999201

Break this problem into two subproblems by setting 
(x + 0.5) equal to 2.501999201 and -2.501999201.


Subproblem 1
x + 0.5 = 2.501999201

Simplifying
x + 0.5 = 2.501999201

Reorder the terms:
0.5 + x = 2.501999201

Solving
0.5 + x = 2.501999201

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 2.501999201 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 2.501999201 + -0.5
x = 2.501999201 + -0.5

Combine like terms: 2.501999201 + -0.5 = 2.001999201
x = 2.001999201

Simplifying
x = 2.001999201


Subproblem 2
x + 0.5 = -2.501999201

Simplifying
x + 0.5 = -2.501999201

Reorder the terms:
0.5 + x = -2.501999201

Solving
0.5 + x = -2.501999201

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -2.501999201 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -2.501999201 + -0.5
x = -2.501999201 + -0.5

Combine like terms: -2.501999201 + -0.5 = -3.001999201
x = -3.001999201

Simplifying
x = -3.001999201


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.001999201, -3.001999201}

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