B+2b(3b-19)+(3b+10)=360

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Solution for B+2b(3b-19)+(3b+10)=360 equation:


Simplifying
B + 2b(3b + -19) + (3b + 10) = 360

Reorder the terms:
B + 2b(-19 + 3b) + (3b + 10) = 360
B + (-19 * 2b + 3b * 2b) + (3b + 10) = 360
B + (-38b + 6b2) + (3b + 10) = 360

Reorder the terms:
B + -38b + 6b2 + (10 + 3b) = 360

Remove parenthesis around (10 + 3b)
B + -38b + 6b2 + 10 + 3b = 360

Reorder the terms:
10 + B + -38b + 3b + 6b2 = 360

Combine like terms: -38b + 3b = -35b
10 + B + -35b + 6b2 = 360

Solving
10 + B + -35b + 6b2 = 360

Solving for variable 'B'.

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

Add '-10' to each side of the equation.
10 + B + -35b + -10 + 6b2 = 360 + -10

Reorder the terms:
10 + -10 + B + -35b + 6b2 = 360 + -10

Combine like terms: 10 + -10 = 0
0 + B + -35b + 6b2 = 360 + -10
B + -35b + 6b2 = 360 + -10

Combine like terms: 360 + -10 = 350
B + -35b + 6b2 = 350

Add '35b' to each side of the equation.
B + -35b + 35b + 6b2 = 350 + 35b

Combine like terms: -35b + 35b = 0
B + 0 + 6b2 = 350 + 35b
B + 6b2 = 350 + 35b

Add '-6b2' to each side of the equation.
B + 6b2 + -6b2 = 350 + 35b + -6b2

Combine like terms: 6b2 + -6b2 = 0
B + 0 = 350 + 35b + -6b2
B = 350 + 35b + -6b2

Simplifying
B = 350 + 35b + -6b2

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