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Simplifying
(10 + -9x)(10 + 9x) = 0
Multiply (10 + -9x) * (10 + 9x)
(10(10 + 9x) + -9x * (10 + 9x)) = 0
((10 * 10 + 9x * 10) + -9x * (10 + 9x)) = 0
((100 + 90x) + -9x * (10 + 9x)) = 0
(100 + 90x + (10 * -9x + 9x * -9x)) = 0
(100 + 90x + (-90x + -81x2)) = 0
Combine like terms: 90x + -90x = 0
(100 + 0 + -81x2) = 0
(100 + -81x2) = 0
Solving
100 + -81x2 = 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 + -81x2 = 0 + -100
Combine like terms: 100 + -100 = 0
0 + -81x2 = 0 + -100
-81x2 = 0 + -100
Combine like terms: 0 + -100 = -100
-81x2 = -100
Divide each side by '-81'.
x2 = 1.234567901
Simplifying
x2 = 1.234567901
Take the square root of each side:
x = {-1.111111111, 1.111111111}
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