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Simplifying
24 * 3.14 = 0.33 * 3.14x * x * 8
Multiply 24 * 3.14
75.36 = 0.33 * 3.14x * x * 8
Reorder the terms for easier multiplication:
75.36 = 0.33 * 3.14 * 8x * x
Multiply 0.33 * 3.14
75.36 = 1.0362 * 8x * x
Multiply 1.0362 * 8
75.36 = 8.2896x * x
Multiply x * x
75.36 = 8.2896x2
Solving
75.36 = 8.2896x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8.2896x2' to each side of the equation.
75.36 + -8.2896x2 = 8.2896x2 + -8.2896x2
Combine like terms: 8.2896x2 + -8.2896x2 = 0.0000
75.36 + -8.2896x2 = 0.0000
Add '-75.36' to each side of the equation.
75.36 + -75.36 + -8.2896x2 = 0.0000 + -75.36
Combine like terms: 75.36 + -75.36 = 0.00
0.00 + -8.2896x2 = 0.0000 + -75.36
-8.2896x2 = 0.0000 + -75.36
Combine like terms: 0.0000 + -75.36 = -75.36
-8.2896x2 = -75.36
Divide each side by '-8.2896'.
x2 = 9.090909091
Simplifying
x2 = 9.090909091
Take the square root of each side:
x = {-3.015113446, 3.015113446}
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