(0.1+0.01x)(-0.1+0.01x)=0

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Solution for (0.1+0.01x)(-0.1+0.01x)=0 equation: 


Simplifying
(0.1 + 0.01x)(-0.1 + 0.01x) = 0

Multiply (0.1 + 0.01x) * (-0.1 + 0.01x)
(0.1(-0.1 + 0.01x) + 0.01x * (-0.1 + 0.01x)) = 0
((-0.1 * 0.1 + 0.01x * 0.1) + 0.01x * (-0.1 + 0.01x)) = 0
((-0.01 + 0.001x) + 0.01x * (-0.1 + 0.01x)) = 0
(-0.01 + 0.001x + (-0.1 * 0.01x + 0.01x * 0.01x)) = 0
(-0.01 + 0.001x + (-0.001x + 0.0001x2)) = 0

Combine like terms: 0.001x + -0.001x = 0.000
(-0.01 + 0.000 + 0.0001x2) = 0
(-0.01 + 0.0001x2) = 0

Solving
-0.01 + 0.0001x2 = 0

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 + 0.0001x2 = 0 + 0.01

Combine like terms: -0.01 + 0.01 = 0.00
0.00 + 0.0001x2 = 0 + 0.01
0.0001x2 = 0 + 0.01

Combine like terms: 0 + 0.01 = 0.01
0.0001x2 = 0.01

Divide each side by '0.0001'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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