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Simplifying
6000 = 0.5(x + 2x) * 2x
Combine like terms: x + 2x = 3x
6000 = 0.5(3x) * 2x
Remove parenthesis around (3x)
6000 = 0.5 * 3x * 2x
Reorder the terms for easier multiplication:
6000 = 0.5 * 3 * 2x * x
Multiply 0.5 * 3
6000 = 1.5 * 2x * x
Multiply 1.5 * 2
6000 = 3x * x
Multiply x * x
6000 = 3x2
Solving
6000 = 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
6000 + -3x2 = 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
6000 + -3x2 = 0
Add '-6000' to each side of the equation.
6000 + -6000 + -3x2 = 0 + -6000
Combine like terms: 6000 + -6000 = 0
0 + -3x2 = 0 + -6000
-3x2 = 0 + -6000
Combine like terms: 0 + -6000 = -6000
-3x2 = -6000
Divide each side by '-3'.
x2 = 2000
Simplifying
x2 = 2000
Take the square root of each side:
x = {-44.72135955, 44.72135955}
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