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Simplifying
3164113.85 = x(0.16x + -0.03x + -0.05x)
Combine like terms: 0.16x + -0.03x = 0.13x
3164113.85 = x(0.13x + -0.05x)
Combine like terms: 0.13x + -0.05x = 0.08x
3164113.85 = x(0.08x)
Remove parenthesis around (0.08x)
3164113.85 = x * 0.08x
Reorder the terms for easier multiplication:
3164113.85 = 0.08x * x
Multiply x * x
3164113.85 = 0.08x2
Solving
3164113.85 = 0.08x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.08x2' to each side of the equation.
3164113.85 + -0.08x2 = 0.08x2 + -0.08x2
Combine like terms: 0.08x2 + -0.08x2 = 0.00
3164113.85 + -0.08x2 = 0.00
Add '-3164113.85' to each side of the equation.
3164113.85 + -3164113.85 + -0.08x2 = 0.00 + -3164113.85
Combine like terms: 3164113.85 + -3164113.85 = 0.00
0.00 + -0.08x2 = 0.00 + -3164113.85
-0.08x2 = 0.00 + -3164113.85
Combine like terms: 0.00 + -3164113.85 = -3164113.85
-0.08x2 = -3164113.85
Divide each side by '-0.08'.
x2 = 39551423.13
Simplifying
x2 = 39551423.13
Take the square root of each side:
x = {-6288.992218949, 6288.992218949}
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