7b(-[6a+4(6a-5b)]-2)=

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Solution for 7b(-[6a+4(6a-5b)]-2)= equation: 


Simplifying
7b(-1[6a + 4(6a + -5b)] + -2) = 0
7b(-1[6a + (6a * 4 + -5b * 4)] + -2) = 0
7b(-1[6a + (24a + -20b)] + -2) = 0

Combine like terms: 6a + 24a = 30a
7b(-1[30a + -20b] + -2) = 0
7b([30a * -1 + -20b * -1] + -2) = 0
7b([-30a + 20b] + -2) = 0

Reorder the terms:
7b(-2 + -30a + 20b) = 0
(-2 * 7b + -30a * 7b + 20b * 7b) = 0

Reorder the terms:
(-210ab + -14b + 140b2) = 0
(-210ab + -14b + 140b2) = 0

Solving
-210ab + -14b + 140b2 = 0

Solving for variable 'a'.

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

Add '14b' to each side of the equation.
-210ab + -14b + 14b + 140b2 = 0 + 14b

Combine like terms: -14b + 14b = 0
-210ab + 0 + 140b2 = 0 + 14b
-210ab + 140b2 = 0 + 14b
Remove the zero:
-210ab + 140b2 = 14b

Add '-140b2' to each side of the equation.
-210ab + 140b2 + -140b2 = 14b + -140b2

Combine like terms: 140b2 + -140b2 = 0
-210ab + 0 = 14b + -140b2
-210ab = 14b + -140b2

Divide each side by '-210b'.
a = -0.06666666667 + 0.6666666667b

Simplifying
a = -0.06666666667 + 0.6666666667b

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