(50*9.81-C)*0.2+C*0.7*0.215-(50*9.81-C)*0.5*0.215-C*0.5=0

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Solution for (50*9.81-C)*0.2+C*0.7*0.215-(50*9.81-C)*0.5*0.215-C*0.5=0 equation: 


Simplifying
(50 * 9.81 + -1C) * 0.2 + C * 0.7 * 0.215 + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Multiply 50 * 9.81
(490.5 + -1C) * 0.2 + C * 0.7 * 0.215 + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Reorder the terms for easier multiplication:
0.2(490.5 + -1C) + C * 0.7 * 0.215 + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0
(490.5 * 0.2 + -1C * 0.2) + C * 0.7 * 0.215 + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0
(98.1 + -0.2C) + C * 0.7 * 0.215 + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Reorder the terms for easier multiplication:
98.1 + -0.2C + 0.7 * 0.215C + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Multiply 0.7 * 0.215
98.1 + -0.2C + 0.1505C + -1(50 * 9.81 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Multiply 50 * 9.81
98.1 + -0.2C + 0.1505C + -1(490.5 + -1C) * 0.5 * 0.215 + -1C * 0.5 = 0

Reorder the terms for easier multiplication:
98.1 + -0.2C + 0.1505C + -1 * 0.5 * 0.215(490.5 + -1C) + -1C * 0.5 = 0

Multiply -1 * 0.5
98.1 + -0.2C + 0.1505C + -0.5 * 0.215(490.5 + -1C) + -1C * 0.5 = 0

Multiply -0.5 * 0.215
98.1 + -0.2C + 0.1505C + -0.1075(490.5 + -1C) + -1C * 0.5 = 0
98.1 + -0.2C + 0.1505C + (490.5 * -0.1075 + -1C * -0.1075) + -1C * 0.5 = 0
98.1 + -0.2C + 0.1505C + (-52.72875 + 0.1075C) + -1C * 0.5 = 0

Reorder the terms for easier multiplication:
98.1 + -0.2C + 0.1505C + -52.72875 + 0.1075C + -1 * 0.5C = 0

Multiply -1 * 0.5
98.1 + -0.2C + 0.1505C + -52.72875 + 0.1075C + -0.5C = 0

Reorder the terms:
98.1 + -52.72875 + -0.2C + 0.1505C + 0.1075C + -0.5C = 0

Combine like terms: 98.1 + -52.72875 = 45.37125
45.37125 + -0.2C + 0.1505C + 0.1075C + -0.5C = 0

Combine like terms: -0.2C + 0.1505C = -0.0495C
45.37125 + -0.0495C + 0.1075C + -0.5C = 0

Combine like terms: -0.0495C + 0.1075C = 0.058C
45.37125 + 0.058C + -0.5C = 0

Combine like terms: 0.058C + -0.5C = -0.442C
45.37125 + -0.442C = 0

Solving
45.37125 + -0.442C = 0

Solving for variable 'C'.

Move all terms containing C to the left, all other terms to the right.

Add '-45.37125' to each side of the equation.
45.37125 + -45.37125 + -0.442C = 0 + -45.37125

Combine like terms: 45.37125 + -45.37125 = 0.00000
0.00000 + -0.442C = 0 + -45.37125
-0.442C = 0 + -45.37125

Combine like terms: 0 + -45.37125 = -45.37125
-0.442C = -45.37125

Divide each side by '-0.442'.
C = 102.6498869

Simplifying
C = 102.6498869

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