(0.2x+3)(0.2x-3)=0

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Solution for (0.2x+3)(0.2x-3)=0 equation: 


Simplifying
(0.2x + 3)(0.2x + -3) = 0

Reorder the terms:
(3 + 0.2x)(0.2x + -3) = 0

Reorder the terms:
(3 + 0.2x)(-3 + 0.2x) = 0

Multiply (3 + 0.2x) * (-3 + 0.2x)
(3(-3 + 0.2x) + 0.2x * (-3 + 0.2x)) = 0
((-3 * 3 + 0.2x * 3) + 0.2x * (-3 + 0.2x)) = 0
((-9 + 0.6x) + 0.2x * (-3 + 0.2x)) = 0
(-9 + 0.6x + (-3 * 0.2x + 0.2x * 0.2x)) = 0
(-9 + 0.6x + (-0.6x + 0.04x2)) = 0

Combine like terms: 0.6x + -0.6x = 0.0
(-9 + 0.0 + 0.04x2) = 0
(-9 + 0.04x2) = 0

Solving
-9 + 0.04x2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 0.04x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 0.04x2 = 0 + 9
0.04x2 = 0 + 9

Combine like terms: 0 + 9 = 9
0.04x2 = 9

Divide each side by '0.04'.
x2 = 225

Simplifying
x2 = 225

Take the square root of each side:
x = {-15, 15}

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