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Simplifying
(5x + -0.2)(5x + 0.2) = 0
Reorder the terms:
(-0.2 + 5x)(5x + 0.2) = 0
Reorder the terms:
(-0.2 + 5x)(0.2 + 5x) = 0
Multiply (-0.2 + 5x) * (0.2 + 5x)
(-0.2(0.2 + 5x) + 5x * (0.2 + 5x)) = 0
((0.2 * -0.2 + 5x * -0.2) + 5x * (0.2 + 5x)) = 0
((-0.04 + -1x) + 5x * (0.2 + 5x)) = 0
(-0.04 + -1x + (0.2 * 5x + 5x * 5x)) = 0
(-0.04 + -1x + (1x + 25x2)) = 0
Combine like terms: -1x + 1x = 0
(-0.04 + 0 + 25x2) = 0
(-0.04 + 25x2) = 0
Solving
-0.04 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.04' to each side of the equation.
-0.04 + 0.04 + 25x2 = 0 + 0.04
Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 25x2 = 0 + 0.04
25x2 = 0 + 0.04
Combine like terms: 0 + 0.04 = 0.04
25x2 = 0.04
Divide each side by '25'.
x2 = 0.0016
Simplifying
x2 = 0.0016
Take the square root of each side:
x = {-0.04, 0.04}
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