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Simplifying
10x2 + -4000 = 0
Reorder the terms:
-4000 + 10x2 = 0
Solving
-4000 + 10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4000' to each side of the equation.
-4000 + 4000 + 10x2 = 0 + 4000
Combine like terms: -4000 + 4000 = 0
0 + 10x2 = 0 + 4000
10x2 = 0 + 4000
Combine like terms: 0 + 4000 = 4000
10x2 = 4000
Divide each side by '10'.
x2 = 400
Simplifying
x2 = 400
Take the square root of each side:
x = {-20, 20}
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