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Simplifying
(2x + 10)(2x + -10) = 0
Reorder the terms:
(10 + 2x)(2x + -10) = 0
Reorder the terms:
(10 + 2x)(-10 + 2x) = 0
Multiply (10 + 2x) * (-10 + 2x)
(10(-10 + 2x) + 2x * (-10 + 2x)) = 0
((-10 * 10 + 2x * 10) + 2x * (-10 + 2x)) = 0
((-100 + 20x) + 2x * (-10 + 2x)) = 0
(-100 + 20x + (-10 * 2x + 2x * 2x)) = 0
(-100 + 20x + (-20x + 4x2)) = 0
Combine like terms: 20x + -20x = 0
(-100 + 0 + 4x2) = 0
(-100 + 4x2) = 0
Solving
-100 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 4x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 4x2 = 0 + 100
4x2 = 0 + 100
Combine like terms: 0 + 100 = 100
4x2 = 100
Divide each side by '4'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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