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Simplifying
(5x + 4)(5x + -4) = 0
Reorder the terms:
(4 + 5x)(5x + -4) = 0
Reorder the terms:
(4 + 5x)(-4 + 5x) = 0
Multiply (4 + 5x) * (-4 + 5x)
(4(-4 + 5x) + 5x * (-4 + 5x)) = 0
((-4 * 4 + 5x * 4) + 5x * (-4 + 5x)) = 0
((-16 + 20x) + 5x * (-4 + 5x)) = 0
(-16 + 20x + (-4 * 5x + 5x * 5x)) = 0
(-16 + 20x + (-20x + 25x2)) = 0
Combine like terms: 20x + -20x = 0
(-16 + 0 + 25x2) = 0
(-16 + 25x2) = 0
Solving
-16 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 25x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 25x2 = 0 + 16
25x2 = 0 + 16
Combine like terms: 0 + 16 = 16
25x2 = 16
Divide each side by '25'.
x2 = 0.64
Simplifying
x2 = 0.64
Take the square root of each side:
x = {-0.8, 0.8}
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