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Simplifying
3164113.85 = x(0.16x + -0.03x + -0.05x + -1(0.05x * 0.19))
Reorder the terms for easier multiplication:
3164113.85 = x(0.16x + -0.03x + -0.05x + -1(0.05 * 0.19x))
Multiply 0.05 * 0.19
3164113.85 = x(0.16x + -0.03x + -0.05x + -1(0.0095x))
Remove parenthesis around (0.0095x)
3164113.85 = x(0.16x + -0.03x + -0.05x + -1 * 0.0095x)
Multiply -1 * 0.0095
3164113.85 = x(0.16x + -0.03x + -0.05x + -0.0095x)
Combine like terms: 0.16x + -0.03x = 0.13x
3164113.85 = x(0.13x + -0.05x + -0.0095x)
Combine like terms: 0.13x + -0.05x = 0.08x
3164113.85 = x(0.08x + -0.0095x)
Combine like terms: 0.08x + -0.0095x = 0.0705x
3164113.85 = x(0.0705x)
Remove parenthesis around (0.0705x)
3164113.85 = x * 0.0705x
Reorder the terms for easier multiplication:
3164113.85 = 0.0705x * x
Multiply x * x
3164113.85 = 0.0705x2
Solving
3164113.85 = 0.0705x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.0705x2' to each side of the equation.
3164113.85 + -0.0705x2 = 0.0705x2 + -0.0705x2
Combine like terms: 0.0705x2 + -0.0705x2 = 0.0000
3164113.85 + -0.0705x2 = 0.0000
Add '-3164113.85' to each side of the equation.
3164113.85 + -3164113.85 + -0.0705x2 = 0.0000 + -3164113.85
Combine like terms: 3164113.85 + -3164113.85 = 0.00
0.00 + -0.0705x2 = 0.0000 + -3164113.85
-0.0705x2 = 0.0000 + -3164113.85
Combine like terms: 0.0000 + -3164113.85 = -3164113.85
-0.0705x2 = -3164113.85
Divide each side by '-0.0705'.
x2 = 44881047.52
Simplifying
x2 = 44881047.52
Take the square root of each side:
x = {-6699.331871164, 6699.331871164}
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