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