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Simplifying
x * x + -1000x * -1000x + -1000 = 0
Multiply x * x
x2 + -1000x * -1000x + -1000 = 0
Reorder the terms for easier multiplication:
x2 + -1000 * -1000x * x + -1000 = 0
Multiply -1000 * -1000
x2 + 1000000x * x + -1000 = 0
Multiply x * x
x2 + 1000000x2 + -1000 = 0
Reorder the terms:
-1000 + x2 + 1000000x2 = 0
Combine like terms: x2 + 1000000x2 = 1000001x2
-1000 + 1000001x2 = 0
Solving
-1000 + 1000001x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1000' to each side of the equation.
-1000 + 1000 + 1000001x2 = 0 + 1000
Combine like terms: -1000 + 1000 = 0
0 + 1000001x2 = 0 + 1000
1000001x2 = 0 + 1000
Combine like terms: 0 + 1000 = 1000
1000001x2 = 1000
Divide each side by '1000001'.
x2 = 0.000999999
Simplifying
x2 = 0.000999999
Take the square root of each side:
x = {-0.031622761, 0.031622761}
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