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Simplifying
5(2x + 1)(2x + -1) = 0
Reorder the terms:
5(1 + 2x)(2x + -1) = 0
Reorder the terms:
5(1 + 2x)(-1 + 2x) = 0
Multiply (1 + 2x) * (-1 + 2x)
5(1(-1 + 2x) + 2x * (-1 + 2x)) = 0
5((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) = 0
5((-1 + 2x) + 2x * (-1 + 2x)) = 0
5(-1 + 2x + (-1 * 2x + 2x * 2x)) = 0
5(-1 + 2x + (-2x + 4x2)) = 0
Combine like terms: 2x + -2x = 0
5(-1 + 0 + 4x2) = 0
5(-1 + 4x2) = 0
(-1 * 5 + 4x2 * 5) = 0
(-5 + 20x2) = 0
Solving
-5 + 20x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 20x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 20x2 = 0 + 5
20x2 = 0 + 5
Combine like terms: 0 + 5 = 5
20x2 = 5
Divide each side by '20'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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