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Simplifying
10 = 1000(0.4 + -1x2)
10 = (0.4 * 1000 + -1x2 * 1000)
10 = (400 + -1000x2)
Solving
10 = 400 + -1000x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1000x2' to each side of the equation.
10 + 1000x2 = 400 + -1000x2 + 1000x2
Combine like terms: -1000x2 + 1000x2 = 0
10 + 1000x2 = 400 + 0
10 + 1000x2 = 400
Add '-10' to each side of the equation.
10 + -10 + 1000x2 = 400 + -10
Combine like terms: 10 + -10 = 0
0 + 1000x2 = 400 + -10
1000x2 = 400 + -10
Combine like terms: 400 + -10 = 390
1000x2 = 390
Divide each side by '1000'.
x2 = 0.39
Simplifying
x2 = 0.39
Take the square root of each side:
x = {-0.6244998, 0.6244998}
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