B+1.8b(2b-93)85(b+36.7)=540

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Solution for B+1.8b(2b-93)85(b+36.7)=540 equation: 


Simplifying
B + 1.8b(2b + -93) * 85(b + 36.7) = 540

Reorder the terms:
B + 1.8b(-93 + 2b) * 85(b + 36.7) = 540

Reorder the terms:
B + 1.8b(-93 + 2b) * 85(36.7 + b) = 540

Reorder the terms for easier multiplication:
B + 1.8 * 85b(-93 + 2b)(36.7 + b) = 540

Multiply 1.8 * 85
B + 153b(-93 + 2b)(36.7 + b) = 540

Multiply (-93 + 2b) * (36.7 + b)
B + 153b(-93(36.7 + b) + 2b * (36.7 + b)) = 540
B + 153b((36.7 * -93 + b * -93) + 2b * (36.7 + b)) = 540
B + 153b((-3413.1 + -93b) + 2b * (36.7 + b)) = 540
B + 153b(-3413.1 + -93b + (36.7 * 2b + b * 2b)) = 540
B + 153b(-3413.1 + -93b + (73.4b + 2b2)) = 540

Combine like terms: -93b + 73.4b = -19.6b
B + 153b(-3413.1 + -19.6b + 2b2) = 540
B + (-3413.1 * 153b + -19.6b * 153b + 2b2 * 153b) = 540
B + (-522204.3b + -2998.8b2 + 306b3) = 540

Solving
B + -522204.3b + -2998.8b2 + 306b3 = 540

Solving for variable 'B'.

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

Add '522204.3b' to each side of the equation.
B + -522204.3b + -2998.8b2 + 522204.3b + 306b3 = 540 + 522204.3b

Reorder the terms:
B + -522204.3b + 522204.3b + -2998.8b2 + 306b3 = 540 + 522204.3b

Combine like terms: -522204.3b + 522204.3b = 0.0
B + 0.0 + -2998.8b2 + 306b3 = 540 + 522204.3b
B + -2998.8b2 + 306b3 = 540 + 522204.3b

Add '2998.8b2' to each side of the equation.
B + -2998.8b2 + 2998.8b2 + 306b3 = 540 + 522204.3b + 2998.8b2

Combine like terms: -2998.8b2 + 2998.8b2 = 0.0
B + 0.0 + 306b3 = 540 + 522204.3b + 2998.8b2
B + 306b3 = 540 + 522204.3b + 2998.8b2

Add '-306b3' to each side of the equation.
B + 306b3 + -306b3 = 540 + 522204.3b + 2998.8b2 + -306b3

Combine like terms: 306b3 + -306b3 = 0
B + 0 = 540 + 522204.3b + 2998.8b2 + -306b3
B = 540 + 522204.3b + 2998.8b2 + -306b3

Simplifying
B = 540 + 522204.3b + 2998.8b2 + -306b3

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