b*b+7bc-2c-6a=0

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Solution for b*b+7bc-2c-6a=0 equation:


Simplifying
b * b + 7bc + -2c + -6a = 0

Multiply b * b
b2 + 7bc + -2c + -6a = 0

Reorder the terms:
-6a + 7bc + b2 + -2c = 0

Solving
-6a + 7bc + b2 + -2c = 0

Solving for variable 'a'.

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

Add '-7bc' to each side of the equation.
-6a + 7bc + b2 + -7bc + -2c = 0 + -7bc

Reorder the terms:
-6a + 7bc + -7bc + b2 + -2c = 0 + -7bc

Combine like terms: 7bc + -7bc = 0
-6a + 0 + b2 + -2c = 0 + -7bc
-6a + b2 + -2c = 0 + -7bc
Remove the zero:
-6a + b2 + -2c = -7bc

Add '-1b2' to each side of the equation.
-6a + b2 + -1b2 + -2c = -7bc + -1b2

Combine like terms: b2 + -1b2 = 0
-6a + 0 + -2c = -7bc + -1b2
-6a + -2c = -7bc + -1b2

Add '2c' to each side of the equation.
-6a + -2c + 2c = -7bc + -1b2 + 2c

Combine like terms: -2c + 2c = 0
-6a + 0 = -7bc + -1b2 + 2c
-6a = -7bc + -1b2 + 2c

Divide each side by '-6'.
a = 1.166666667bc + 0.1666666667b2 + -0.3333333333c

Simplifying
a = 1.166666667bc + 0.1666666667b2 + -0.3333333333c

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