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Simplifying
3783.50 = x(0.05x)
Remove parenthesis around (0.05x)
3783.50 = x * 0.05x
Reorder the terms for easier multiplication:
3783.50 = 0.05x * x
Multiply x * x
3783.50 = 0.05x2
Solving
3783.50 = 0.05x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.05x2' to each side of the equation.
3783.50 + -0.05x2 = 0.05x2 + -0.05x2
Combine like terms: 0.05x2 + -0.05x2 = 0.00
3783.50 + -0.05x2 = 0.00
Add '-3783.50' to each side of the equation.
3783.50 + -3783.50 + -0.05x2 = 0.00 + -3783.50
Combine like terms: 3783.50 + -3783.50 = 0.00
0.00 + -0.05x2 = 0.00 + -3783.50
-0.05x2 = 0.00 + -3783.50
Combine like terms: 0.00 + -3783.50 = -3783.5
-0.05x2 = -3783.5
Divide each side by '-0.05'.
x2 = 75670
Simplifying
x2 = 75670
Take the square root of each side:
x = {-275.081806014, 275.081806014}
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