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Simplifying
-0.20(x + 5)(x + -5) = 0
Reorder the terms:
-0.20(5 + x)(x + -5) = 0
Reorder the terms:
-0.20(5 + x)(-5 + x) = 0
Multiply (5 + x) * (-5 + x)
-0.20(5(-5 + x) + x(-5 + x)) = 0
-0.20((-5 * 5 + x * 5) + x(-5 + x)) = 0
-0.20((-25 + 5x) + x(-5 + x)) = 0
-0.20(-25 + 5x + (-5 * x + x * x)) = 0
-0.20(-25 + 5x + (-5x + x2)) = 0
Combine like terms: 5x + -5x = 0
-0.20(-25 + 0 + x2) = 0
-0.20(-25 + x2) = 0
(-25 * -0.20 + x2 * -0.20) = 0
(5 + -0.20x2) = 0
Solving
5 + -0.20x2 = 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 + -0.20x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -0.20x2 = 0 + -5
-0.20x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-0.20x2 = -5
Divide each side by '-0.20'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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