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Simplifying
(3x + 10)(3x + -10) = 0
Reorder the terms:
(10 + 3x)(3x + -10) = 0
Reorder the terms:
(10 + 3x)(-10 + 3x) = 0
Multiply (10 + 3x) * (-10 + 3x)
(10(-10 + 3x) + 3x * (-10 + 3x)) = 0
((-10 * 10 + 3x * 10) + 3x * (-10 + 3x)) = 0
((-100 + 30x) + 3x * (-10 + 3x)) = 0
(-100 + 30x + (-10 * 3x + 3x * 3x)) = 0
(-100 + 30x + (-30x + 9x2)) = 0
Combine like terms: 30x + -30x = 0
(-100 + 0 + 9x2) = 0
(-100 + 9x2) = 0
Solving
-100 + 9x2 = 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 + 9x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 9x2 = 0 + 100
9x2 = 0 + 100
Combine like terms: 0 + 100 = 100
9x2 = 100
Divide each side by '9'.
x2 = 11.11111111
Simplifying
x2 = 11.11111111
Take the square root of each side:
x = {-3.333333333, 3.333333333}
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