(x+0.1)(x-0.1)=4

Solution for (x+0.1)(x-0.1)=4 equation:

Simplifying
(x + 0.1)(x + -0.1) = 4

Reorder the terms:
(0.1 + x)(x + -0.1) = 4

Reorder the terms:
(0.1 + x)(-0.1 + x) = 4

Multiply (0.1 + x) * (-0.1 + x)
(0.1(-0.1 + x) + x(-0.1 + x)) = 4
((-0.1 * 0.1 + x * 0.1) + x(-0.1 + x)) = 4
((-0.01 + 0.1x) + x(-0.1 + x)) = 4
(-0.01 + 0.1x + (-0.1 * x + x * x)) = 4
(-0.01 + 0.1x + (-0.1x + x2)) = 4

Combine like terms: 0.1x + -0.1x = 0.0
(-0.01 + 0.0 + x2) = 4
(-0.01 + x2) = 4

Solving
-0.01 + x2 = 4

Solving for variable 'x'.

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

Add '0.01' to each side of the equation.
-0.01 + 0.01 + x2 = 4 + 0.01

Combine like terms: -0.01 + 0.01 = 0.00
0.00 + x2 = 4 + 0.01
x2 = 4 + 0.01

Combine like terms: 4 + 0.01 = 4.01
x2 = 4.01

Simplifying
x2 = 4.01

Take the square root of each side:
x = {-2.002498439, 2.002498439}